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The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______. - Mathematics

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Question

The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.

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Solution

The value of cos (sin–1x + cos–1x), |x| ≤ 1 is 0.

Explanation:

cos (sin–1x + cos–1x) = `cos  pi/2`

= 0  ......`(because sin^-1x + cos^-1x = pi/2)`

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Chapter 2: Inverse Trigonometric Functions - Exercise [Page 40]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 44 | Page 40
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