Why does cos θ become 0 for π/r radians?

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Cos θ becomes 0 for π/r radians because at this angle, the corresponding point on the unit circle is (0, 1), where the x-coordinate, representing cos θ, is zero. This occurs specifically at θ = π/2, where the cosine function, defined as the ratio of the adjacent side to the hypotenuse, results in 0 since the adjacent side (x) is 0. The discussion highlights that while other angles like -π/2 and 3π/2 also yield cos θ = 0, the focus here is on π/2. Understanding this relationship is crucial for grasping the behavior of the cosine function on the unit circle.
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Why does cos θ, which normally equals x, become 0 when you evaluate this function for π/r radians?
(π/r means pi over r radians)
Why does cos θ, which normally equals x, become 0 when you evaluate this function for π/r radians?
It says that the point on the circle for this question is (0,1) so zero = x and y = 1 here.
 
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For x=cos\theta, when x=0, \theta=\pi/2 (it can also be -\pi/2,3\pi/2 etc. but I don't think you need to deal with that right now).

When you're looking at the circle and any point on the circle (x,y) remember that cos\theta is adjacent/hypotenuse or x/1=x. So since the point on the circle is (0,1), the x value is 0 so cos(\pi/2)=0
 
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