Find the value of `sin((1)/(2) cot^(-1) (-(3)/(4)))`

1.	Find the value of `sin((1)/(2) cot^(-1) (-(3)/(4)))`
Answer» Let `cos^(-1) (-3//4) = theta` or `cos theta = -3//4` `rArr theta in (pi//2, pi)` `rArr cos theta = -3//5` `rArr 1 - 2 sin^(2) (theta//2) = - 3//5` `:. Sin^(2) theta//2 = 4//5 " or " sin theta//2 = 2 sqrt5`

Discussion

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