SOLVING INVERSE TRIG EQUATIONS WORKSHEET

Solve :

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Find the number of solutions of the equation

Answer Key

1) x = 13

2) x = (a - b) / (1 + ab)

3) x = nπ+π/4

4) x = √3

5) 3 solutions

Solve the following equations for x :

Problem 1 :

tan^-1 2x + tan^-1 3x = nπ + 3π/4

Problem 2 :

tan^-1 (x+1) + tan^-1 (x-1) = tan^-1 (8/31)

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

If tan^-1x + tan^-1y = π/4, then write the value of x + y + xy

Problem 7 :

In a triangle ABC, C is a right angle, then

1) solution is x = 1/6.

2) x = 1/4

3) x = 1

4) x = 1/5

5) √3

6) x + y + xy = 1

7) bc + c² + ac = 1