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# For the following exercises, find the exact value. $$\sin \left(\frac{5 \pi}{12}\right)$$

## $\frac{\sqrt{6}+\sqrt{2}}{4}$

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

All right, let's evaluate. Sign of five pie divided by 12 so we can split this up. One way is to split this up into three pi over 12 and two. Pi over 12. Answer. That becomes sign of pi over four plus five or six, then using our sign addition rule. It's a sign of pi over four co sign of high over six plus Let's go sign of pyro for sign of Pi over six and evaluate radical to over two. Here we have radical three over, too, then radical to over two again and 1/2 so simple finding simplifying this whole down to get radical. Article six Plus radical, too. That's all gonna be over four.

University of North Carolina at Chapel Hill
##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

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