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Solve sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)...

Solve `sin^(-1)x-cos^(-1)x=sin^(-1)(3x-2)`

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To solve the equation \( \sin^{-1}x - \cos^{-1}x = \sin^{-1}(3x - 2) \), we can follow these steps: ### Step 1: Rewrite the equation using trigonometric identities We know that: \[ \cos^{-1}x = \frac{\pi}{2} - \sin^{-1}x \] Using this identity, we can rewrite the left-hand side: ...
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