Page 1
1. If sin
3
2
, find the value of all T- ratios of
Sol:
Now, we know that sin
So, if AB =
Now, using Pythagoras theorem, we have:
BC = k
Now, finding the other T-rations using their definitions, we get:
Cos
Tan
cot
2. If cos
7
25
, find the value of all T-ratios of
Sol:
Now, we know that cos
So, if BC = 7k, then AC = 25k, were k is a positive number.
Now, using Pythagoras theorem, we have:
Page 2
1. If sin
3
2
, find the value of all T- ratios of
Sol:
Now, we know that sin
So, if AB =
Now, using Pythagoras theorem, we have:
BC = k
Now, finding the other T-rations using their definitions, we get:
Cos
Tan
cot
2. If cos
7
25
, find the value of all T-ratios of
Sol:
Now, we know that cos
So, if BC = 7k, then AC = 25k, were k is a positive number.
Now, using Pythagoras theorem, we have:
AB = 24k
Now, finding the trigonometric ratios using their definitions, we get:
Sin
Tan
cot
3. If tan
15
8
, find the values of all T-ratios of
Sol:
Now, we know that tan =
So, if BC = 8k, then AB = 15k where k is positive number.
Now, using Pythagoras theorem, we have:
AC = 17k
Now, finding the other T-ratios using their definitions, we get:
Sin
Cos
cot
4. If cot 2 find all the values of all T-ratios of
Sol:
Now, we know that cot =
Page 3
1. If sin
3
2
, find the value of all T- ratios of
Sol:
Now, we know that sin
So, if AB =
Now, using Pythagoras theorem, we have:
BC = k
Now, finding the other T-rations using their definitions, we get:
Cos
Tan
cot
2. If cos
7
25
, find the value of all T-ratios of
Sol:
Now, we know that cos
So, if BC = 7k, then AC = 25k, were k is a positive number.
Now, using Pythagoras theorem, we have:
AB = 24k
Now, finding the trigonometric ratios using their definitions, we get:
Sin
Tan
cot
3. If tan
15
8
, find the values of all T-ratios of
Sol:
Now, we know that tan =
So, if BC = 8k, then AB = 15k where k is positive number.
Now, using Pythagoras theorem, we have:
AC = 17k
Now, finding the other T-ratios using their definitions, we get:
Sin
Cos
cot
4. If cot 2 find all the values of all T-ratios of
Sol:
Now, we know that cot =
So, if BC = 2k, then AB = k, is a positive number.
Now, using Pythagoras theorem, we have:
Now, finding the other T-ratios using their definitions, we get:
Sin =
Cos
tan =
5. If cosec 10 find all the values of all T-ratios of
Sol:
Now, we know that cosec =
So, if AC = (
Now, by using Pythagoras theorem, we have:
BC = 3k
Now, finding the other T-ratios using their definitions, we get:
tan =
cos =
sin =
Page 4
1. If sin
3
2
, find the value of all T- ratios of
Sol:
Now, we know that sin
So, if AB =
Now, using Pythagoras theorem, we have:
BC = k
Now, finding the other T-rations using their definitions, we get:
Cos
Tan
cot
2. If cos
7
25
, find the value of all T-ratios of
Sol:
Now, we know that cos
So, if BC = 7k, then AC = 25k, were k is a positive number.
Now, using Pythagoras theorem, we have:
AB = 24k
Now, finding the trigonometric ratios using their definitions, we get:
Sin
Tan
cot
3. If tan
15
8
, find the values of all T-ratios of
Sol:
Now, we know that tan =
So, if BC = 8k, then AB = 15k where k is positive number.
Now, using Pythagoras theorem, we have:
AC = 17k
Now, finding the other T-ratios using their definitions, we get:
Sin
Cos
cot
4. If cot 2 find all the values of all T-ratios of
Sol:
Now, we know that cot =
So, if BC = 2k, then AB = k, is a positive number.
Now, using Pythagoras theorem, we have:
Now, finding the other T-ratios using their definitions, we get:
Sin =
Cos
tan =
5. If cosec 10 find all the values of all T-ratios of
Sol:
Now, we know that cosec =
So, if AC = (
Now, by using Pythagoras theorem, we have:
BC = 3k
Now, finding the other T-ratios using their definitions, we get:
tan =
cos =
sin =
6. If sin
2 2
2 2
a b
a b
find all the values of all T-ratios of
Sol:
We have sin =
As,
Page 5
1. If sin
3
2
, find the value of all T- ratios of
Sol:
Now, we know that sin
So, if AB =
Now, using Pythagoras theorem, we have:
BC = k
Now, finding the other T-rations using their definitions, we get:
Cos
Tan
cot
2. If cos
7
25
, find the value of all T-ratios of
Sol:
Now, we know that cos
So, if BC = 7k, then AC = 25k, were k is a positive number.
Now, using Pythagoras theorem, we have:
AB = 24k
Now, finding the trigonometric ratios using their definitions, we get:
Sin
Tan
cot
3. If tan
15
8
, find the values of all T-ratios of
Sol:
Now, we know that tan =
So, if BC = 8k, then AB = 15k where k is positive number.
Now, using Pythagoras theorem, we have:
AC = 17k
Now, finding the other T-ratios using their definitions, we get:
Sin
Cos
cot
4. If cot 2 find all the values of all T-ratios of
Sol:
Now, we know that cot =
So, if BC = 2k, then AB = k, is a positive number.
Now, using Pythagoras theorem, we have:
Now, finding the other T-ratios using their definitions, we get:
Sin =
Cos
tan =
5. If cosec 10 find all the values of all T-ratios of
Sol:
Now, we know that cosec =
So, if AC = (
Now, by using Pythagoras theorem, we have:
BC = 3k
Now, finding the other T-ratios using their definitions, we get:
tan =
cos =
sin =
6. If sin
2 2
2 2
a b
a b
find all the values of all T-ratios of
Sol:
We have sin =
As,
7. If 15 cot A = 8 find all the values of sin A and sec A
Sol:
We have,
As,
1 17
sin 15 A
Sin A =
15
17
Also,
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