How do you calculate $cos (\frac{3 π}{2})$ $cos((3pi)/2)$ ?

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How do you calculate $cos (\frac{3 π}{2})$ $cos((3pi)/2)$ ?

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Answer 1 · 2015-02-06T19:27:24

If we consider the goniometric circle, that is a circle centered in the origin of axes with radius $1$ $1$ , a point that lies on it has the coordinates: $(cos α, sin α)$ $(cosalpha,sinalpha)$ , where $α$ $alpha$ is the angle (in radians) that the radius makes with the positive real axis Ox.

Since $α = \frac{3}{2} π$ $alpha=3/2pi$ , than the point has the coordinates $(0, - 1)$ $(0,-1)$ , and so $cos (\frac{3}{2} π) = 0$ $cos(3/2pi)=0$ .

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How do you calculate $cos (\frac{3 π}{2})$ $cos((3pi)/2)$ ?

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