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Question
If `cos^-1x + cos^-1y =pi/4,` find the value of `sin^-1x+sin^-1y`
Solution
`cos^-1x + cos^-1y =pi/4`
⇒ `pi/2-sin^-1x+pi/2-sin^-1y=pi/4` `[thereforecos^-1x=pi/2-sin^-1x]`
⇒ `pi-(sin^-1x+sin^-1y)=pi/4`
⇒ `sin^-1x+sin^-1y=(3pi)/4`
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