Solution of Chapter 2. Inverse Trigonometric Functions (Mathematics Part-I Book)

Chapter Exercises

Exercise 2.1
Exercise 2.2
Miscellaneous Exercise

Exercise 2.1

1

Find the principal values of the following:
2

Find the principal values of the following:
3

Find the principal values of the following:

cosec–1 (2 )
4

Find the principal values of the following:
5

Find the principal values of the following:
6

Find the principal values of the following:

tan–1 (–1)
7

Find the principal values of the following:
8

Find the principal values of the following:
9

Find the principal values of the following:
10

Find the principal values of the following:
11

Find the values of the following:
12

Find the values of the following:
13

Find the values of the following:

sin–1 x = y, then
14

Find the values of the following:

is equal to

Exercise 2.2

1

Prove the following:
2

Prove the following:
3

Prove the following:
4

Prove the following:
5

Write the following functions in the simplest form:
6

Write the following functions in the simplest form:
7

Write the following functions in the simplest form:
8

Write the following functions in the simplest form:
9

Write the following functions in the simplest form:
10

Write the following functions in the simplest form:
11

Find the values of each of the following:
12

Find the values of each of the following:

cot (tan–1a + cot–1a)
13

Find the values of each of the following:
14

Find the values of each of the following:

If , then find the value of x
15

Find the values of each of the following:

, then find the value of x.
16

Find the values of each of the expression
17

Find the values of each of the expression
18

Find the values of each of the expression
19

Find the values of each of the expression

is equal to
20

Find the values of each of the expression

is equal to
21

Find the values of each of the expression

is equal to

Miscellaneous Exercise

1

Find the value of the following:
2

Find the value of the following:
3

Prove that
4

Prove that
5

Prove that
6

Prove that
7

Prove that
8

Prove that
9

Prove that
10

Prove that
11

Prove that
12

Prove that
13

Solve the following equations:
14

Solve the following equations:
15

Solve the following equations:

is equal to
16

Solve the following equations:

, then x is equal to
17

Solve the following equations:

is equal to