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  • Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 13 maths textbook solution

Answers (1)

Answer: 100 \degree

Given:

\cos ^{-1}\left(\cos 1540^{\circ}\right)

Hint: Try to separate the degree into two parts.

Solution:            

\begin{aligned} \cos ^{-1}\left(\cos 1540^{\circ}\right) &=\cos ^{-1}\left\{\cos \left(1440^{\circ}+100^{\circ}\right)\right\} \\ &=\cos ^{-1}\left\{\cos \left(100^{\circ}\right)\right\} \quad \therefore\left[\cos \left(4 \pi+100^{\circ}\right)=\cos 100^{\circ}\right] \\ &=100^{\circ} \end{aligned}

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