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Question Number 166186 by mkam last updated on 14/Feb/22

$$ifsin\theta =\frac{1}{2}findcos\theta$$

Answered by pnuvu last updated on 14/Feb/22

$$\frac{\sqrt{3}}{2}$$

Answered by MJS_new last updated on 15/Feb/22

$$\cos \theta =\pm \sqrt{1-{\sin }^2\theta }$$$$\sin \theta =\frac{1}{2}\Rightarrow \cos \theta =\pm \frac{\sqrt{3}}{2}$$$$$$$$\mathrm{or}$$$$\mathrm{for}0°⩽\theta <360°:$$$$\sin \theta =\frac{1}{2}\Rightarrow \theta =30°\vee \theta =150°$$$$\Rightarrow \cos \theta =\pm \frac{\sqrt{3}}{2}$$

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