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  • Fill in the blanks the value of cos into bracket sin inverse x plus cos inverse, absolute value of x less tan equal to 1 is....

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

Answers (1)

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

cos (sin–1 x + cos–1 x), |x| ≤ 1

We know that, (sin–1 x + cos–1 x), |x| ≤ 1 is  \frac{\pi}{2}

So, \cos\left ( \sin^{-1}x+\cos^{-1}x \right )=\cos\frac{\pi}{2}

= 0

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