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Evaluate: cos{sin^(-1)(-5/(13))} (ii) co...

Evaluate: `cos{sin^(-1)(-5/(13))}` (ii) `cot{sin^(-1)(-7/(25))}`

Text Solution

Verified by Experts

(i) `Let sin^{-1} (5 / 13) = x`
`sin x = 5 / 13`
`cos x = \sqrt{1 – (25 / 169)} = 12 / 13`
`cos (sin^-1 (5 / 13)) = cos (cos^-1 (12 / 13)) = 12 / 13`
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