If $\theta$ is an acute angle of a right triangle where $\sin \theta = x/2$, compute the value of $\sin 2\theta$ in terms of $x$.

If $\theta$ is an acute angle of a right triangle where $\sin \theta = x/2$, compute the value of $\sin 2\theta$ in terms of $x$.

A. $\dfrac{x}{\sqrt{4 - x^2}}$ C. $2x \sqrt{4 - x^2}$
B. $\frac{1}{2}x \sqrt{4 - x^2}$ D. $\dfrac{\sqrt{4 - x^2}}{x}$

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Jhun Vert Sat, 06/15/2024 - 16:04

Solution