iran-konkur 2016 Q108

iran-konkur · Other · konkur-riazi_1395_specialized Standard trigonometric equations Solve trigonometric equation for solutions in an interval
108. The sum of all solutions of the equation $\sin 4x = \sin^2 x - \cos^2 x$, in the interval $[0, \pi]$, equals which of the following?
(4) $\dfrac{11\pi}{2}$ (3) $\dfrac{5\pi}{2}$ (2) $\dfrac{9\pi}{4}$ (1) $\dfrac{7\pi}{4}$
\textbf{108.} The sum of all solutions of the equation $\sin 4x = \sin^2 x - \cos^2 x$, in the interval $[0, \pi]$, equals which of the following?

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(4) $\dfrac{11\pi}{2}$ \hfill (3) $\dfrac{5\pi}{2}$ \hfill (2) $\dfrac{9\pi}{4}$ \hfill (1) $\dfrac{7\pi}{4}$

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