Question

Find the exact value of the expression:
sin ( cos^-1 (1/2) + tan^-1 (1) )

Answer 1

Explanation:

The solution to the trigonometric expression is:

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

= sin (60° + 45°) (since cos^-1 (1/2) = 60° and tan^-1 (1) = 45°)

= sin 105°

= 0.966