Trigonometric value

Cos(180°) = -1

Cosine — the x-coordinate of the corresponding unit-circle point, or adjacent/hypotenuse in a right triangle.

How to derive cos(180°)

cos(180°)=1cos(180°) = -1

At 180° the unit-circle point is (−1, 0). Cosine = x-coordinate = −1 — the minimum value cosine ever takes.

Unit-circle context

The angle 180° corresponds to π radians and sits on an axis on the unit circle.

Other trig values at 180°

Related cos values

Frequently asked

What is the exact value of cos(180°)?
The exact value is -1. Its decimal approximation is -1.
How do you derive cos(180°)?
At 180° the unit-circle point is (−1, 0). Cosine = x-coordinate = −1 — the minimum value cosine ever takes.
What is 180° in radians?
180° equals π radians (multiply degrees by π/180).

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