# DOMAIN OF COSINE INVERSE FUNCTION WORKSHEET

Find all values of x such that

Problem 1 :

-6π ≤ x ≤ 6π and cos x = 0

Solution

Problem 2 :

-5π ≤ x ≤ 5π and cos x = 1

Solution

Problem 3 :

State the reason for

Solution

Problem 4 :

Is cos-1(-x) = π - cos-1(x) true ? justify your answer ?

Solution

Problem 5 :

Find the principal value of cos-1 (1/2)

Solution

Find the value of

Problem 6 :

2cos-1(1/2) + sin-1(1/2)

Solution

Problem 7 :

cos-1(1/2) + sin-1(-1)

Solution

Problem 8 :

Solution

Problem 9 :

Solution

Problem 10 :

For what value of x, the inequality

π/2 < cos-1 (3x- 1) < π

holds ?

Solution

Find the value of

Problem 10 :

Solution

Problem 11 :

Solution

1)  0, ±1,±2,±3,±4,±5, -6

2)  0, ±1, ±2, -3

3)  Here the angle measure (-π/6) mentioned is not in the domain [0, π]. So, it is not true.

4)  π - cos-1(x)

5)  cos-1 (1/2) = π/3

6)  5π/6

7)  -π/6

8)  24π/119

9)  [-5, 5].

10)  0 < x < 1/3

11)  0

12)  -7π/12

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