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If \(cos(sin^{-1}\frac{2}{5}+cos^{-1}x)=0\), find the value of x. |
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Answer» Given cos (sin-1 2/5 + cos-1 x) = 0 ⇒ cos (sin-1 2/5 + cos-1 x) = cos (π/2) ⇒ sin-1 2/5 + cos -1 x = π/2 We know that sin-1 x + cos -1 x = π/2 ∴ x = 2/5 |
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