Find the exact value of each of the following, giving your answers in radians. \(\sin^{-1}\dfrac{\sq

Question

Find the exact value of each of the following, giving your answers in radians. $\sin^{-1}\dfrac{\sqrt{3}}{2}+\cos^{-1}\dfrac{\sqrt{3}}{2}$ $\tan^{-1}\sqrt{3}-\tan^{-1}1$ $\sin^{-1}\left(-\dfrac{1}{2}\right)+\cos^{-1}\left(-\dfrac{\sqrt{3}}{2}\right)$

Accepted Answer

(a) $\frac{\pi}{2}$ (b) $\frac{\pi}{12}$ (c) $\frac{2\pi}{3}$

Exact values of inverse trigonometric expressions in radians

Exact values of inverse trigonometric expressions in radians

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