Find the exact value of each of the following, giving your answers in radians. \(\tan^{-1}(-1)+\cos^

Question

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

Accepted Answer

(a) $\frac{\pi}{2}$ (b) $-\frac{\pi}{2}$ (c) $0$

Signed inverse trigonometric combinations

Signed inverse trigonometric combinations

Solution:

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