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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: Use the identity for inverse trigonometric functions We know that: \[ \cos^{-1}x = \frac{\pi}{2} - \sin^{-1}x \] Substituting this into the equation gives: ...
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