Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

Solve \(\cos 2x\sin \left( x-\frac{\pi }{3} \right)=0\) for \(\text{-}\pi \le x\le \pi \).
Solve \(2\sin^2 x - 3\sin x - 5 = 0\) for \( 0 < x < 2\pi\).

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Answer:(a) -3pi/4,-2pi/3,-pi/4,pi/4,pi/3,3pi/4. (b) 3pi/2.

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