Cosine of 90 degrees?

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Cosine of 90 degrees?

Cosine tells us the horizontal component of a unit vector at a given angle. On the unit circle, any angle θ corresponds to a point with coordinates (cos θ, sin θ). At 90 degrees (π/2), the point is straight up from the origin at (0, 1). The horizontal component, the x-coordinate, is 0, so cos 90° equals 0. This also aligns with the idea that as an angle approaches 90°, the adjacent side in the triangle interpretation shrinks relative to the hypotenuse, driving the ratio toward zero.

Cosine tells us the horizontal component of a unit vector at a given angle. On the unit circle, any angle θ corresponds to a point with coordinates (cos θ, sin θ). At 90 degrees (π/2), the point is straight up from the origin at (0, 1). The horizontal component, the x-coordinate, is 0, so cos 90° equals 0. This also aligns with the idea that as an angle approaches 90°, the adjacent side in the triangle interpretation shrinks relative to the hypotenuse, driving the ratio toward zero.

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