sin(π/2) equals 1.
Here's how we can determine that:
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The Unit Circle: The unit circle is a circle with a radius of 1 centered at the origin (0,0) of a coordinate plane. A key concept for understanding trigonometric functions is that any point on the unit circle can be represented as (cos θ, sin θ), where θ is the angle formed between the positive x-axis and the line segment connecting the origin to that point.
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π/2 radians (90 degrees): An angle of π/2 radians (or 90 degrees) corresponds to the point (0, 1) on the unit circle.
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Sine as the y-coordinate: Since the y-coordinate of the point on the unit circle represents the sine of the angle, sin(π/2) is equal to the y-coordinate of the point (0, 1).
Therefore, sin(π/2) = 1.
