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  • Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 49 maths textbook solution

Please solve RD Sharma class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 49 maths textbook solution

Answers (1)

Answer:  0

Given: \cos \left(\sin ^{-1} x+\cos ^{-1} x\right),|x| \leq 1

Hint: |x| \leq 1, x \in[-1,1]

Solution:            

\begin {array}{ll} |x| \leq 1\\\\ \pm x \leq 1\\\\ x \leq 1 \ \ or \ \ x \geq-1\\\\ x \in[-1,1] \end {array}

Now,

\begin {array}{ll}\cos \left(\sin ^{-1} x+\cos ^{-1} x\right)=\cos \left(\frac{\pi}{2}\right) \\\\ =0\ \end {array}

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