The value of $x$ in $\left(0, \frac{\pi}{2}\right)$ satisfying the equation $(\sin x)(\cos x)=\frac{1}{4}$ is

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Aicharya · Accepted Answer

Given, $\sin x \cos x=\frac{1}{4}$ $\begin{array}{llll} \Rightarrow & \sin 2 x =\frac{1}{2} \Rightarrow 2 x=30^{\circ}, 150^{\circ} \ \Rightarrow & x =15^{\circ}, 75^{\circ} \ \text {or } & x =\frac{\pi}{12}, \frac{5 \pi}{12} \in\left(0, \frac{\pi}{2}\right) \end{array}$

The value of \(x\) in \(\left(0, \frac{\pi}{2}\right)\) satisfying the equation \((\sin x)(\cos…

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