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nth Term of a Sequence Find a formula for the $n$ th term of the sequence$$\sqrt{2}, \quad \sqrt{2 \sqrt{2}}, \quad \sqrt{2 \sqrt{2 \sqrt{2}}}, \quad \sqrt{2 \sqrt{2 \sqrt{2 \sqrt{2}}}}, \ldots$$[Hint: Write each term as a power of $2 . ]$

Is there only one way to evaluate $\cos \left(\frac{5 \pi}{4}\right)$ ? Explain how to set up the solution in two different ways, and then compute to make sure they give the same answer.

For the following exercises, find the exact value. $$\cos \left(\frac{7 \pi}{12}\right)$$

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

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

For the following exercises, rewrite in terms of $\sin x$ and $\cos x .$$$\sin \left(x+\frac{11 \pi}{6}\right)$$