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Question
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
Options
`pi/2`
π
0
`(2pi)/3`
Solution
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is `pi/2`.
Explanation:
Given that sin–1x + sin–1y = `pi/2`
Therefore, `(pi/2 - cos^-1x) + (pi/2 - cos^-1 y) = pi/2`
⇒ cos–1x + cos–1y = `pi/2`.
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