(a) Given that , determine the principal value of correct to three significant…

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

(a) Given that

\tan\theta=-7

, determine the principal value of

\theta

correct to three significant figures. (b) Evaluate the principal value of

\tan^{-1}\bigl(\tan\tfrac{5\pi}{4}\bigr)

and explain your reasoning.