 # The question asks for the exact value of the trigonometric function at the given real number: sin((3pi)/4) sjeikdom0 2021-02-12 Answered
The question asks for the exact value of the trigonometric function at the given real number:
$\mathrm{sin}\left(\frac{3\pi }{4}\right)$
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Trigonometric formula:
$\mathrm{sin}\left(\pi -\theta \right)=\mathrm{sin}\theta$
Solving the given trigonometric function.
$\mathrm{sin}\left(\frac{3\pi }{4}\right)$
$=\mathrm{sin}\left(\pi -\frac{\pi }{4}\right)$
$=\mathrm{sin}\left(\frac{\pi }{4}\right)\left\{{,}^{\prime }\mathrm{sin}\left(\pi -\theta \right)=\mathrm{sin}\theta \right\}$
$=\frac{1}{\sqrt{2}}$
The value of given trigonometric function is shown below.
$\mathrm{sin}\left(\frac{3\pi }{4}\right)=\frac{1}{\sqrt{2}}$
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