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Question
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
Solution
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is 1.
Explanation:
`tan((sin^-1x + cos^-1x)/2) = tan (pi/4)` .....`(because sin^-1x + cos^-1x = pi/2)`
= `tan pi/4`
= 1
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