The value of cos(π/2) is 0.
Here's why:
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Unit Circle Definition: In the unit circle, an angle of π/2 radians (90 degrees) corresponds to the point (0, 1). The cosine of an angle is represented by the x-coordinate of this point. Therefore, cos(π/2) = 0.
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Cosine Wave: The cosine function is a wave that starts at a value of 1 when the angle is 0, decreases to 0 when the angle is π/2, reaches -1 when the angle is π, and then increases again. At π/2, the cosine wave crosses the x-axis, indicating a value of 0.
In summary, both the unit circle definition and the graphical representation of the cosine function confirm that cos(π/2) equals 0.
