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  • Explain Solution R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Function Exercise Multiple Choice Questions Question 32 maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Function Exercise Multiple Choice Questions Question 32 maths Textbook Solution.

Answers (1)

Answer: \frac{2 \pi}{5}

Hint: \tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}

Given: \tan ^{-1} x=\frac{\pi}{10}, x \in R

Solution:

\cot ^{-1} x=\frac{\pi}{2}-\frac{\pi}{10}

                \begin{aligned} &=\frac{5 \pi-\pi}{10} \\ &=\frac{4 \pi}{10} \end{aligned}

\cot ^{-1} x=\frac{2 \pi}{5}

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