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Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 45 maths textbook solution

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Answer: 40 \degree

Given: \cos ^{-1}\left(\cos 680^{\circ}\right)

Hint: Try to solve \cos 680^{\circ}  first, then separate and solve.


\begin{aligned} \cos ^{-1}\left(\cos 680^{\circ}\right) &=\cos ^{-1}\left[\cos \left(720^{\circ}-680^{\circ}\right)\right] \\ &=\cos ^{-1}\left(\cos 40^{\circ}\right) \\ &=40^{\circ} \end{aligned}

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