Class 11 Exam > Class 11 Videos > L9 : Negative Functions - Trigonometry Functions, Mathematics, Class 11
L9 : Negative Functions - Trigonometry Functions, Mathematics, Class 11 Video Lecture
FAQs on L9 : Negative Functions - Trigonometry Functions, Mathematics, Class 11 Video Lecture
| 1. What are trigonometry functions in mathematics? |  |
Ans. Trigonometry functions are mathematical functions that relate the angles of a triangle to the lengths of its sides. The most common trigonometry functions are sine, cosine, and tangent, which are abbreviated as sin, cos, and tan respectively. These functions are used to solve various problems involving angles and distances in fields such as physics, engineering, and navigation.
| 2. How do trigonometry functions work? | |
Ans. Trigonometry functions work by using the ratios of the sides of a right triangle. For example, the sine function (sin) is calculated by dividing the length of the side opposite the angle by the length of the hypotenuse. The cosine function (cos) is calculated by dividing the length of the adjacent side by the length of the hypotenuse. The tangent function (tan) is calculated by dividing the length of the opposite side by the length of the adjacent side. These ratios can be used to find missing angles or side lengths in a triangle.
| 3. What are the properties of trigonometry functions? | |
Ans. Trigonometry functions have specific properties that make them useful in solving mathematical problems. Some of the properties include the periodicity of the functions, which means that they repeat their values at regular intervals. For example, sin and cos functions have a period of 2π radians. Another property is the symmetry of the functions. The sin function is an odd function, which means that sin(-x) = -sin(x), while the cos function is an even function, which means that cos(-x) = cos(x). These properties help simplify calculations and solve equations involving trigonometry functions.
| 4. How are trigonometry functions used in real-world applications? | |
Ans. Trigonometry functions are widely used in various real-world applications. In physics, they are used to analyze the motion of objects, study waves and vibrations, and calculate forces and distances. In engineering, trigonometry functions are used in fields such as structural analysis, electrical circuits, and mechanical systems. In navigation and astronomy, these functions help determine the positions and movements of celestial bodies. Trigonometry functions also find applications in computer graphics, architecture, and music, among others.
| 5. What are the key concepts to understand about trigonometry functions? | |
Ans. To understand trigonometry functions, it is important to grasp key concepts such as the unit circle, which relates angles to points on a circle of radius 1. The unit circle provides a visual representation of trigonometry functions and their values for different angles. Another important concept is the trigonometric identity, which is an equation that relates different trigonometry functions. These identities are useful for simplifying expressions and solving equations involving trigonometry functions. Additionally, understanding the domain and range of trigonometry functions is crucial for their proper application in problem-solving.
Text Transcript from Video
hello friends this video trigonometry
part 9 is not you by exam va.com
no more fear from exam before watching
this video please make sure that you
have watched agreement or e part 1 -
Part A now we'll learn something new
metric functions is negative so here
let's draw this graph we have all sign
tank offs add sugar to copy this
quadrant this is first cotton second
quadrant third quadrant this is now is a
sine of minus X so we can also say sine
of one is minus cosine of two pi minus X
because we know is a repeater / - pi
so this is x + 2 pi minus X is nothing
but this is two pi minus X this is two
pi - this is X this whole thing is two
pi you subtract X from a and this is two
pi minus X so we can say sine of X is
equal to sine of minus two pi minus X
and if you see this lies in which
quadrant fourth quadrant so this will be
negative so this becomes minus or sign
because the values are all same but the
sign changes sine of minus X is nothing
but sine of two pi minus X and sine of
two pi minus X is nothing but minus of
sine X similarly cos of minus X also
will become cos of 2 pi minus X so we
can say cos of 2 five minutes X and this
thing in fact if you see this guys this
whole guy is two pi minus X body in this
way is excellent so cos of 2 pi many
things also will do cos of X because in
small current causes positive similar
1/10 of minus X will become minus sine
of X because here only cos is positive
Kozik is 1 by sine so
sign is negative Kasich is also negative
sake is won by cost so it causes
positive cause of minus X is equal to
cos x so sake of - will do shake X in
case of cortex cortex quant of minus x
squared - - cortex because you have seen
net 10 of - x squared minus 10x so what
we have seen no sign of minus X is equal
to minus of sine X cos of minus X is
going to be positive course X because
cause X here X lies in the fourth
quadrant tan of minus X equal to minus
sin x because here X lies in the fourth
quadrant and fourth quadrant Tannen's
negative similarly cos x second thank
you visit exam fair calm to watch free
educational videos try free online test
get the best quality study materials
study from the best tutors and mentors
and much more thanks and serene
part 9 is not you by exam va.com
no more fear from exam before watching
this video please make sure that you
have watched agreement or e part 1 -
Part A now we'll learn something new
metric functions is negative so here
let's draw this graph we have all sign
tank offs add sugar to copy this
quadrant this is first cotton second
quadrant third quadrant this is now is a
sine of minus X so we can also say sine
of one is minus cosine of two pi minus X
because we know is a repeater / - pi
so this is x + 2 pi minus X is nothing
but this is two pi minus X this is two
pi - this is X this whole thing is two
pi you subtract X from a and this is two
pi minus X so we can say sine of X is
equal to sine of minus two pi minus X
and if you see this lies in which
quadrant fourth quadrant so this will be
negative so this becomes minus or sign
because the values are all same but the
sign changes sine of minus X is nothing
but sine of two pi minus X and sine of
two pi minus X is nothing but minus of
sine X similarly cos of minus X also
will become cos of 2 pi minus X so we
can say cos of 2 five minutes X and this
thing in fact if you see this guys this
whole guy is two pi minus X body in this
way is excellent so cos of 2 pi many
things also will do cos of X because in
small current causes positive similar
1/10 of minus X will become minus sine
of X because here only cos is positive
Kozik is 1 by sine so
sign is negative Kasich is also negative
sake is won by cost so it causes
positive cause of minus X is equal to
cos x so sake of - will do shake X in
case of cortex cortex quant of minus x
squared - - cortex because you have seen
net 10 of - x squared minus 10x so what
we have seen no sign of minus X is equal
to minus of sine X cos of minus X is
going to be positive course X because
cause X here X lies in the fourth
quadrant tan of minus X equal to minus
sin x because here X lies in the fourth
quadrant and fourth quadrant Tannen's
negative similarly cos x second thank
you visit exam fair calm to watch free
educational videos try free online test
get the best quality study materials
study from the best tutors and mentors
and much more thanks and serene
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Oct 16, 2025
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