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Question Number 148301 by mathdanisur last updated on 26/Jul/21

$$Solveforequation:$$$$4{sin}^2\left(x\right)+sin\left(2x\right)=2$$

Answered by mr W last updated on 27/Jul/21

$$2(1-\cos 2x)+\sin 2x=2$$$$\sin 2x=2\cos 2x$$$$\Rightarrow \tan 2x=2$$$$\Rightarrow 2x=k\pi +{\tan }^{-1}2$$$$\Rightarrow x=\frac{k\pi }{2}+\frac{{\tan }^{-1}2}{2}$$

Commented by puissant last updated on 27/Jul/21

$$wrong$$

Commented by mathdanisur last updated on 27/Jul/21

$$ThankyouSir$$$$Theanswerisasfollows?$$

Commented by mr W last updated on 27/Jul/21

$$thisisthecorrectanswer,whichcan$$$$beeasilychecked.$$

Commented by mathdanisur last updated on 27/Jul/21

$$ThankyouSer$$

Commented by mr W last updated on 27/Jul/21

$$pleasetellwhereandwhatiswrong$$$$sir!thanks!$$

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