Express $ 2\cos^2{x} + \sin{x}$ in terms of $\sin{x}$ only. Solve the equation \(2\cos^2{x} + \s

Question

Express $ 2\cos^2{x} + \sin{x}$ in terms of $\sin{x}$ only. Solve the equation $2\cos^2{x} + \sin{x} = 2$ for $x$ in the interval $0 \leq x \leq \pi$, giving your answers exactly.

Accepted Answer

(a) $2-2\sin^2x+\sin x$ (b) $x=0,\dfrac\pi6,\dfrac{5\pi}6,\pi$

Trigonometry - Trigonometric Equations

Trigonometry - Trigonometric Equations

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