Class 10 Exam > Class 10 Videos > Intro - sin, cos & tan - Introduction to Trignometry
Intro - sin, cos & tan - Introduction to Trignometry Video Lecture - Class 10
FAQs on Intro - sin, cos & tan - Introduction to Trignometry Video Lecture - Class 10
| 1. What is the definition of sine, cosine, and tangent? |  |
Ans. In trigonometry, sine (sin), cosine (cos), and tangent (tan) are three basic trigonometric functions. Sine is the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse, and tangent is the ratio of the length of the opposite side to the length of the adjacent side.
| 2. How are sin, cos, and tan used to solve right triangles? | |
Ans. Sin, cos, and tan are used to solve right triangles by using the values of these trigonometric functions along with the lengths of the sides of the triangle. By knowing the length of any two sides of a right triangle and the values of sin, cos, or tan of an angle, we can determine the length of the third side or the measure of another angle in the triangle.
| 3. What is the relationship between sin, cos, and tan? | |
Ans. The relationship between sin, cos, and tan can be defined by their reciprocal values. The sine of an angle is equal to the reciprocal of the cosecant (csc) of that angle. The cosine of an angle is equal to the reciprocal of the secant (sec) of that angle. And the tangent of an angle is equal to the reciprocal of the cotangent (cot) of that angle.
| 4. How do sin, cos, and tan relate to the unit circle? | |
Ans. In trigonometry, sin, cos, and tan values are often represented using the unit circle. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate plane. The x-coordinate of a point on the unit circle represents the cosine value of the corresponding angle, and the y-coordinate represents the sine value. The tangent value is obtained by dividing the sine value by the cosine value at a particular angle.
| 5. How are sin, cos, and tan used in real-life applications? | |
Ans. Sin, cos, and tan have numerous real-life applications. They are used in fields such as physics, engineering, architecture, and navigation. For example, trigonometry is used in calculating distances, heights, and angles in surveying and construction. It is also used in analyzing waveforms, designing bridges and buildings, and determining the trajectory of a projectile in physics.
Text Transcript from Video
hello friends this video on introduction
to trigonometry part 2 is brought you by
exam viacom no more fear from exam
before watching this video please make
sure that you have washed part 1 so
let's try to learn the main thing sine
cos and down what do maybe before we
actually try to understand let me give
your mantra fun depth but three fashion
Lorraine flavor so what does mantra make
if you see this triangle this is a 90
degree angle and let's name this
triangle ABC the side opposite to the 90
degree angle with the longest side and
that side is gone I finish that we do
hypo tennis now the other two sides are
base and perpendicular so GE sides of
the triangle is called hyper to me is
being and pufferty but there is a little
trick here where do they break
hypotenuse is confirmed
the side that is the biggest side and
there is opposition in iberia angles
corn hybrids that does confirm there is
no doubt in that
but perpendicular and base varies
actually so if you want to find sine cos
and hand anything of this final angle a
or we can say that if angle a is the
frame of reference for us then what
happens is side opposite to angle a is
called this perpendicular for I will be
in the site if this included in this
angle that is not hyper to lumis-foil
base this is called base quality correct
listening please understand this if my
angle a is the frame of reference that
case the side opposite to angle a is
called perpendicular and side including
in angle a
called base of my ankle a similarly if I
take angle B as the reference then again
the side that is opposite to angle B
will be perpendicular that is
perpendicular for angle B and the site
that is included in it this will be base
so this will be base for angle so what
do you have seen hyper-religious concept
there is no change in - if there is no
doubt there is something hypotenuse
means the side that is a person in my
opinion but the perpendicular and
business based on the angle reasoning if
you select angle a as the frame of
reference this side becomes
perpendicular and this side comes means
if we select angle B as the frame of
reference this becomes perpendicular and
this becomes this correct please note
when you're solving by triangle
questions you consider only one I can at
a point so if you are considering one
angle because we will try to find sine
cos 10 per cycle so in that is what you
do you just think that the angle B
should select the first angles are
permitting the hypotenuse you already
know the next angle is base or you can
think in this fashion we are standing
from here to standing here will be
meaning of a as the frame of reference
and you are standing here then what you
will see this line will be perpendicular
to you see you are standing here and you
are seeing this might be see this line
is perpendicular and this line is your
baseline because you are standing on the
same correct see if you are standing
here standing on this line this line
every piece and this line is
perpendicular to you because if you see
from base to 90 vinegar correct thus
what you can to start where you just
assumed when you are standing here
but you feel as every angle a standing
and diagonally then you will feel that
this is the base because you're standing
on the base and this is the carpeting
you say raining tears of anger be you
see this is the angle you can't stand on
top you understand like this it's
standing like this right you see that
this is the beast and if you see here
this is the perpendicular this is a
little this is V this is correct because
we're standing here like this we'll use
you this is the base and this is the
buffer similarly we stand here like this
you see this is the base EC is the
reason we see them particularly all
right so what I can do is when you take
angle a then you see with angle T the
side that is included in the base in the
opposite side is gone perpendicular from
my angle a you see this is BC is
perpendicular to and milling right
similarly when you take B as the point
of reference you see that side you see
in perpendicular disease and this BC is
part of this machinery sir
so what if mantra says mantra says
punted by three pissant arethey that is
a light like this pundit Evo pundit be
former 3p4 Prashad or divided because we
have a long gap here - yeah would be
facade arrey arrey good pundit barabash
alternative ira done this so this
becomes sign this become cos and this
becomes
so for any case sight is nothing but P
by H for a li KS causes nothing but D by
H and for Tana nothing but P by B so
talking about sine of T for your thing
of me
it is P by H for a very thick a as the
favorite fence P is what this one this
is P equal to angle B this is people
think of it you are this VC by H is what
may be nothing but spinal so really
cause of it cause of I is nothing but B
by H B of for a bitch nothing but easy
so easy by H is lady that will be for me
and Dan of K is nothing but D by D for a
P is busy and be easy easy this is only
one we see violence this is how we get
the form just remember this one tank but
we push on hurry hurry for sign post and
the sign is nothing but always P by H
then depending on the angle you select
because selecting a sign because VC by
EB you could have selected P then sine B
would have become again P by actually
but for B please want AC so AC by we
listen all this thing
so again sign is nothing but side
opposite I am going to angle a bi
hurmatil yours causes side adjacent join
candy by hamper trillions and dad is
side opposite to angle a by side at
essentially these are mathematical
definition difficult to remember so what
we have done is side opposite is called
perpendicular as explained if you dig
angle a side of this for perpendicular
and side it isn't always right and
hypotenuse we already so what we have
got now so he replace this side opposite
to angle by / 20
your hair I inside it is my base and
side opposite my perpendicular and this
my face so what we get is this will be e
by H sign e P by H cos a is going to be
by edge V by H cross Z and tan a is
equal to e by V V by V this is difficult
to remember pun days but the repechage
Harry Harry Potter is very easy remember
just you have to understand that in the
triangle will you take frame e here's
the point talking about sign e cos it
adding then you have to take this side
opposite side and then perpendicular and
the side which is there additional side
with this skull base hypothesis there is
no down to my hypotenuse that the
biggest side and then suppose it the
negative reading similarly when you
think I can be as with my friends when
you are deriving sign because we can be
in that case we'll take again the side
opposite that is easy as the
perpendicular and side adjacent that
this VC as a piece to justify our
concept let's find sine V cos B and can
you ever do this side B is nothing but
you see e by H caused me nothing but V
by H say how am i will use and tan be
nothing when me by now when I am talking
the word angle be as the frame of
reference my P is what this one opposite
side opposite to angle side opposite
that is AC by h HS there is no doubt on
edge will always behave e gives up Cosby
he had find B by H so when you're taking
in be in after his base is this side BC
/ the side and just this becomes
we see Mike and pan is nothing but P by
V so when I take an you'll be a terrain
of reference but Pentagon is easy and
basis VC so this becomes easy by this is
the value of sine V cos me and Dan V and
these are the value of sine a casa en
very simple just remember bundle
pathetic Bashar sorry honey hole and
they remember that hypotenuse of a right
triangle always a moving any angle
hypotenuse same but but painting over
and these valleys based on which angle
lucien using it either hail or angle c
universal i because sine 90 is my angle
value no sign i it is nothing but then
find the value 0 a key okay
understand this light is very very
critical sign you understand this then
sign cost and very very simple for you
just remembers sine cos tan on leg but
the reaper Sean hurry hurry
remember this only sign cost and what
never officials any heavy goal you
remember everything that this sign is
going to be by H cross is going to be
voyage can you ever do me one and I
explained you how to find P V image s is
always constant PNB varies page on I
angle you select there is angle a or
again thank you
visit exam Viacom to watch free
education videos try three on my desk
get the best quality study materials
study from the best tutors and mentors
and much more thanks Eileen
to trigonometry part 2 is brought you by
exam viacom no more fear from exam
before watching this video please make
sure that you have washed part 1 so
let's try to learn the main thing sine
cos and down what do maybe before we
actually try to understand let me give
your mantra fun depth but three fashion
Lorraine flavor so what does mantra make
if you see this triangle this is a 90
degree angle and let's name this
triangle ABC the side opposite to the 90
degree angle with the longest side and
that side is gone I finish that we do
hypo tennis now the other two sides are
base and perpendicular so GE sides of
the triangle is called hyper to me is
being and pufferty but there is a little
trick here where do they break
hypotenuse is confirmed
the side that is the biggest side and
there is opposition in iberia angles
corn hybrids that does confirm there is
no doubt in that
but perpendicular and base varies
actually so if you want to find sine cos
and hand anything of this final angle a
or we can say that if angle a is the
frame of reference for us then what
happens is side opposite to angle a is
called this perpendicular for I will be
in the site if this included in this
angle that is not hyper to lumis-foil
base this is called base quality correct
listening please understand this if my
angle a is the frame of reference that
case the side opposite to angle a is
called perpendicular and side including
in angle a
called base of my ankle a similarly if I
take angle B as the reference then again
the side that is opposite to angle B
will be perpendicular that is
perpendicular for angle B and the site
that is included in it this will be base
so this will be base for angle so what
do you have seen hyper-religious concept
there is no change in - if there is no
doubt there is something hypotenuse
means the side that is a person in my
opinion but the perpendicular and
business based on the angle reasoning if
you select angle a as the frame of
reference this side becomes
perpendicular and this side comes means
if we select angle B as the frame of
reference this becomes perpendicular and
this becomes this correct please note
when you're solving by triangle
questions you consider only one I can at
a point so if you are considering one
angle because we will try to find sine
cos 10 per cycle so in that is what you
do you just think that the angle B
should select the first angles are
permitting the hypotenuse you already
know the next angle is base or you can
think in this fashion we are standing
from here to standing here will be
meaning of a as the frame of reference
and you are standing here then what you
will see this line will be perpendicular
to you see you are standing here and you
are seeing this might be see this line
is perpendicular and this line is your
baseline because you are standing on the
same correct see if you are standing
here standing on this line this line
every piece and this line is
perpendicular to you because if you see
from base to 90 vinegar correct thus
what you can to start where you just
assumed when you are standing here
but you feel as every angle a standing
and diagonally then you will feel that
this is the base because you're standing
on the base and this is the carpeting
you say raining tears of anger be you
see this is the angle you can't stand on
top you understand like this it's
standing like this right you see that
this is the beast and if you see here
this is the perpendicular this is a
little this is V this is correct because
we're standing here like this we'll use
you this is the base and this is the
buffer similarly we stand here like this
you see this is the base EC is the
reason we see them particularly all
right so what I can do is when you take
angle a then you see with angle T the
side that is included in the base in the
opposite side is gone perpendicular from
my angle a you see this is BC is
perpendicular to and milling right
similarly when you take B as the point
of reference you see that side you see
in perpendicular disease and this BC is
part of this machinery sir
so what if mantra says mantra says
punted by three pissant arethey that is
a light like this pundit Evo pundit be
former 3p4 Prashad or divided because we
have a long gap here - yeah would be
facade arrey arrey good pundit barabash
alternative ira done this so this
becomes sign this become cos and this
becomes
so for any case sight is nothing but P
by H for a li KS causes nothing but D by
H and for Tana nothing but P by B so
talking about sine of T for your thing
of me
it is P by H for a very thick a as the
favorite fence P is what this one this
is P equal to angle B this is people
think of it you are this VC by H is what
may be nothing but spinal so really
cause of it cause of I is nothing but B
by H B of for a bitch nothing but easy
so easy by H is lady that will be for me
and Dan of K is nothing but D by D for a
P is busy and be easy easy this is only
one we see violence this is how we get
the form just remember this one tank but
we push on hurry hurry for sign post and
the sign is nothing but always P by H
then depending on the angle you select
because selecting a sign because VC by
EB you could have selected P then sine B
would have become again P by actually
but for B please want AC so AC by we
listen all this thing
so again sign is nothing but side
opposite I am going to angle a bi
hurmatil yours causes side adjacent join
candy by hamper trillions and dad is
side opposite to angle a by side at
essentially these are mathematical
definition difficult to remember so what
we have done is side opposite is called
perpendicular as explained if you dig
angle a side of this for perpendicular
and side it isn't always right and
hypotenuse we already so what we have
got now so he replace this side opposite
to angle by / 20
your hair I inside it is my base and
side opposite my perpendicular and this
my face so what we get is this will be e
by H sign e P by H cos a is going to be
by edge V by H cross Z and tan a is
equal to e by V V by V this is difficult
to remember pun days but the repechage
Harry Harry Potter is very easy remember
just you have to understand that in the
triangle will you take frame e here's
the point talking about sign e cos it
adding then you have to take this side
opposite side and then perpendicular and
the side which is there additional side
with this skull base hypothesis there is
no down to my hypotenuse that the
biggest side and then suppose it the
negative reading similarly when you
think I can be as with my friends when
you are deriving sign because we can be
in that case we'll take again the side
opposite that is easy as the
perpendicular and side adjacent that
this VC as a piece to justify our
concept let's find sine V cos B and can
you ever do this side B is nothing but
you see e by H caused me nothing but V
by H say how am i will use and tan be
nothing when me by now when I am talking
the word angle be as the frame of
reference my P is what this one opposite
side opposite to angle side opposite
that is AC by h HS there is no doubt on
edge will always behave e gives up Cosby
he had find B by H so when you're taking
in be in after his base is this side BC
/ the side and just this becomes
we see Mike and pan is nothing but P by
V so when I take an you'll be a terrain
of reference but Pentagon is easy and
basis VC so this becomes easy by this is
the value of sine V cos me and Dan V and
these are the value of sine a casa en
very simple just remember bundle
pathetic Bashar sorry honey hole and
they remember that hypotenuse of a right
triangle always a moving any angle
hypotenuse same but but painting over
and these valleys based on which angle
lucien using it either hail or angle c
universal i because sine 90 is my angle
value no sign i it is nothing but then
find the value 0 a key okay
understand this light is very very
critical sign you understand this then
sign cost and very very simple for you
just remembers sine cos tan on leg but
the reaper Sean hurry hurry
remember this only sign cost and what
never officials any heavy goal you
remember everything that this sign is
going to be by H cross is going to be
voyage can you ever do me one and I
explained you how to find P V image s is
always constant PNB varies page on I
angle you select there is angle a or
again thank you
visit exam Viacom to watch free
education videos try three on my desk
get the best quality study materials
study from the best tutors and mentors
and much more thanks Eileen
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Nov 25, 2024 Last updated |
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