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Trig values for multiples of π2\frac{\pi}{2} are easy to remember. To remember them, draw a unit circle:

From this, it is very easy to see how to figure out the trig values. Since cosine is the x-coordinate and sine is the y-coordinate, just take each coordinate and figure out the corresponding coordinate.

sin⁡0=0 and cos⁡0=1\sin{0} = 0 \text{ and } \cos{0} = 1

sin⁡π2=1 and cos⁡π2=0\sin{\frac{\pi}{2}} = 1 \text{ and } \cos{\frac{\pi}{2}} = 0

And so on.

What is sin⁡3π2\sin{\frac{3\pi}{2}}?

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Type a concept, like “slope” or “photosynthesis”.

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