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Question
If `sin^-1x + cos^-1y = (3pi)/10,` then `cos^-1x + sin^-1y =` ______
Options
`(2pi)/10`
`(7pi)/10`
`(9pi)/10`
`(3pi)/10`
MCQ
Fill in the Blanks
Solution
If `sin^-1x + cos^-1y = (3pi)/10,` then `cos^-1x + sin^-1y` = `underline((7pi)/10)`.
Explanation:
`sin^-1x + cos^-1y = (3pi)/10`
⇒ `pi/2 - cos^-1x + pi/2 - sin^-1y = (3pi)/10`
⇒ `pi - cos^-1x - sin^-1y = (3pi)/10`
⇒ `cos^-1x + sin^-1y = pi - (3pi)/10`
= `(7pi)/10`
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