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# Find sin(t) given t= 5pie/2

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Find sin(t) given t= 5pie/2

May 16, 2020

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What is the value of $$\sin\left(\frac{5\pi}{2}\right)$$?

Well, first, let's determine the quadrant or quadrantal where the terminal side lies. Rotating counterclockwise by $$\frac{5\pi}{2}$$ radians exceeds one revolution, and the terminal side will land on the first quadrantal:

$$\sin(\frac{5\pi}{2})=\sin(\frac{\pi}{2})=1$$

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May 16, 2020