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