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Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.10 Question 1 Subquestion (v) Maths Textbook Solution.

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Answer: 0
Hint: Check properties of trigonometric functions
Given:\cos\left ( \sec ^{-1} x+ cosec^{-1}x\right ) , |x| \geq 1
We know that, \sec^{-1}x+ cosec^{-1}x=\frac{\pi }{2}
Therefore\Rightarrow \cos\left ( \sec ^{-1} x+ cosec^{-1}x\right )
\Rightarrow \cos \frac{\pi }{2}= 0
= 0
Concept: Properties and relations between inverse trigonometric functions.
Note: Deriving value of other trigonometric functions from basic sine and cosine functions.     

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