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Evaluate sin(1/2cos^(-1)(4/5))...

Evaluate `sin(1/2cos^(-1)(4/5))`

Text Solution

Verified by Experts

Let `cos^(-1) (4 / 5) = x`
`cos x = 4 / 5 —- (i)`
And,
`sin [(1 / 2) cos^(-1) (4 / 5)] = sin (x / 2) —- (ii)`
From (i), `cos x = 4 / 5` ...
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