find the exact value of the following expression. tan⁻¹(√3) what is the exact value of tan⁻¹(√3)…

find the exact value of the following expression. tan⁻¹(√3) what is the exact value of tan⁻¹(√3)? tan⁻¹(√3)=□ (simplify your answer. type an exact answer, using π as needed.

find the exact value of the following expression. tan⁻¹(√3) what is the exact value of tan⁻¹(√3)? tan⁻¹(√3)=□ (simplify your answer. type an exact answer, using π as needed.

Answer

Explanation:

Step1: Recall inverse - tangent range

The range of (y = \tan^{-1}(x)) is ((-\frac{\pi}{2},\frac{\pi}{2})).

Step2: Find angle with tangent value

We know that (\tan(\frac{\pi}{3})=\sqrt{3}) and (\frac{\pi}{3}\in(-\frac{\pi}{2},\frac{\pi}{2})).

Answer:

(\frac{\pi}{3})