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Explain solution for RD Sharma class class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 56 math

Answers (1)

Answer:  \sqrt{3}

Given:

\cos \left(\tan ^{-1} x+\cot ^{-1} \sqrt{3}\right)=0

Hint:

\tan ^{-1} y+\cot ^{-1} y=\frac{\pi}{2}

Solution:       

\begin{array}{l} \cos \left(\tan ^{-1} x+\cot ^{-1} \sqrt{3}\right)=\cos \left(\frac{\pi}{2}\right) \\\\ \tan ^{-1} x+\cot ^{-1} \sqrt{3}=\frac{\pi}{2} \\\\ x=\sqrt{3} \end{array}

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