PROPERTIES USING INVERSE TRIGONOMETRIC FUNCTIONS WORKSHEET

Find the value, if it exists. If not, give the reason for non existence.

Problem 1 :

sin^-1(cos π)

Solution

Problem 2 :

tan^-1 (sin (-5π/2))

Solution

Problem 3 :

sin^-1 (sin 5)

Solution

Find the value of the expression in terms of x, with the help of a reference triangle.

Problem 4 :

sin (cos^-1(1 - x))

Solution

Problem 5 :

cos (tan^-1(3x - 1))

Solution

Problem 6 :

tan (sin^-1(x + 1/2))

Solution

Find the value of

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Prove that

Solution

Problem 5 :

Prove that

Solution

Problem 6 :

Prove that 

tan^-1x + tan^-1y + tan^-1z = tan^-1(x + y + z - xyz)/(1-xy-yz-zx)

Solution

Problem 7 :

Prove that 

Solution

Problem 8 :

Solution

Solve :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 : 

Solution

Problem 5 :

Find the number of solutions of the equation

Solution