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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`
c) `7cos^(2)theta+3sin^(2)theta=4`
d) `4costheta-3sectheta=tantheta`

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Let's solve the equations step by step. ### a) Solve the equation: \( 3\sin x + 2\cos^2 x = 0 \) 1. **Rewrite \(\cos^2 x\)**: \[ \cos^2 x = 1 - \sin^2 x \] ...
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