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Solve the equation sin^2x-cos^2x=(1)/(2)...

Solve the equation `sin^2x-cos^2x=(1)/(2)`

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To solve the equation \( \sin^2 x - \cos^2 x = \frac{1}{2} \), we can follow these steps: ### Step 1: Use the Pythagorean Identity We know from the fundamental identity of trigonometric functions that: \[ \sin^2 x + \cos^2 x = 1 \] From this, we can express \( \cos^2 x \) in terms of \( \sin^2 x \): ...
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