RS Aggarwal Solutions: Trigonometric Identities (Exercise 8C)

# RS Aggarwal Solutions: Trigonometric Identities (Exercise 8C) - Mathematics (Maths) Class 10

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``` Page 1

1. Write the value of
2 2
1 sin sec .
Sol:
=
= 1
2. Write the value of
2 2
1 cos sec c o .
Sol:
=
= 1
3. Write the value of
2 2
1 tan cos .
Sol:
=
= 1
4. Write the value of
2 2
1 cot sin .
Sol:
=
= 1
Page 2

1. Write the value of
2 2
1 sin sec .
Sol:
=
= 1
2. Write the value of
2 2
1 cos sec c o .
Sol:
=
= 1
3. Write the value of
2 2
1 tan cos .
Sol:
=
= 1
4. Write the value of
2 2
1 cot sin .
Sol:
=
= 1

5. Write the value of
2
2
1
sin
1 tan
.
Sol:
=
=
= 1
6. Write the value of
2
2
1
cot .
sin
Sol:
=
= -1
7. Write the value of sin cos 90 cos sin 90 .
Sol:
=
=
= 1
8. Write the value of
2 2
cosec 90 tan .
Sol:
=
= 1
9. Write the value of
2
sec 1 sin (1 sin ) .
Sol:
=
=
= 1
Page 3

1. Write the value of
2 2
1 sin sec .
Sol:
=
= 1
2. Write the value of
2 2
1 cos sec c o .
Sol:
=
= 1
3. Write the value of
2 2
1 tan cos .
Sol:
=
= 1
4. Write the value of
2 2
1 cot sin .
Sol:
=
= 1

5. Write the value of
2
2
1
sin
1 tan
.
Sol:
=
=
= 1
6. Write the value of
2
2
1
cot .
sin
Sol:
=
= -1
7. Write the value of sin cos 90 cos sin 90 .
Sol:
=
=
= 1
8. Write the value of
2 2
cosec 90 tan .
Sol:
=
= 1
9. Write the value of
2
sec 1 sin (1 sin ) .
Sol:
=
=
= 1

10. Write the value of
2
sec 1 cos (1 cos ). c o
Sol:
=
=
= 1
11. Write the value of
2 2 2 2
sin cos 1 tan (1 cot ).
Sol:
=
=
= 1
12. Write the value of
2
1 tan (1 sin )(1 sin ).
Sol:
=
=
= 1
13. Write the value of
2 2
3cot 3cos . e c
Sol:
=
=
= -3
14. Write the value of
2
2
4
4 tan .
cos
Sol:
=
=
=
= -4
Page 4

1. Write the value of
2 2
1 sin sec .
Sol:
=
= 1
2. Write the value of
2 2
1 cos sec c o .
Sol:
=
= 1
3. Write the value of
2 2
1 tan cos .
Sol:
=
= 1
4. Write the value of
2 2
1 cot sin .
Sol:
=
= 1

5. Write the value of
2
2
1
sin
1 tan
.
Sol:
=
=
= 1
6. Write the value of
2
2
1
cot .
sin
Sol:
=
= -1
7. Write the value of sin cos 90 cos sin 90 .
Sol:
=
=
= 1
8. Write the value of
2 2
cosec 90 tan .
Sol:
=
= 1
9. Write the value of
2
sec 1 sin (1 sin ) .
Sol:
=
=
= 1

10. Write the value of
2
sec 1 cos (1 cos ). c o
Sol:
=
=
= 1
11. Write the value of
2 2 2 2
sin cos 1 tan (1 cot ).
Sol:
=
=
= 1
12. Write the value of
2
1 tan (1 sin )(1 sin ).
Sol:
=
=
= 1
13. Write the value of
2 2
3cot 3cos . e c
Sol:
=
=
= -3
14. Write the value of
2
2
4
4 tan .
cos
Sol:
=
=
=
= -4

15. Write the value of
2 2
2 2
tan sec
.
cot cos e c
Sol:
=
= 1
16. If
1
sin ,
2
write the value of
2
3cot 3 .
Sol:
Now,
=
=
=
=
= 12
17. If
2
cos
3
, write the value of
2
4 4 tan .
Sol:
=
=
=
=
=
=
= 9
18. If
7
cos ,
25
write the value of tan cot .
Sol:
Page 5

1. Write the value of
2 2
1 sin sec .
Sol:
=
= 1
2. Write the value of
2 2
1 cos sec c o .
Sol:
=
= 1
3. Write the value of
2 2
1 tan cos .
Sol:
=
= 1
4. Write the value of
2 2
1 cot sin .
Sol:
=
= 1

5. Write the value of
2
2
1
sin
1 tan
.
Sol:
=
=
= 1
6. Write the value of
2
2
1
cot .
sin
Sol:
=
= -1
7. Write the value of sin cos 90 cos sin 90 .
Sol:
=
=
= 1
8. Write the value of
2 2
cosec 90 tan .
Sol:
=
= 1
9. Write the value of
2
sec 1 sin (1 sin ) .
Sol:
=
=
= 1

10. Write the value of
2
sec 1 cos (1 cos ). c o
Sol:
=
=
= 1
11. Write the value of
2 2 2 2
sin cos 1 tan (1 cot ).
Sol:
=
=
= 1
12. Write the value of
2
1 tan (1 sin )(1 sin ).
Sol:
=
=
= 1
13. Write the value of
2 2
3cot 3cos . e c
Sol:
=
=
= -3
14. Write the value of
2
2
4
4 tan .
cos
Sol:
=
=
=
= -4

15. Write the value of
2 2
2 2
tan sec
.
cot cos e c
Sol:
=
= 1
16. If
1
sin ,
2
write the value of
2
3cot 3 .
Sol:
Now,
=
=
=
=
= 12
17. If
2
cos
3
, write the value of
2
4 4 tan .
Sol:
=
=
=
=
=
=
= 9
18. If
7
cos ,
25
write the value of tan cot .
Sol:

=
=
=
Now,
=
=
=
=
=
19. If
2
cos ,
3
write the value of
sec 1
.
sec 1
Sol:
=
=
=
=
=
=
```

## Mathematics (Maths) Class 10

115 videos|478 docs|129 tests

## Mathematics (Maths) Class 10

115 videos|478 docs|129 tests

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