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Solve the following equations: a) 3sin...

Solve the following equations:
a) `3sinx+2cos^(2)x=0`,
b) `sec^(2)2alpha=1-tan2alpha`

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Let's solve the given equations step by step. ### Part a: Solve `3sin(x) + 2cos^2(x) = 0` 1. **Rewrite cos²(x) in terms of sin(x)**: \[ \cos^2(x) = 1 - \sin^2(x) \] ...
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