Cos 540 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is cos 540°?

Answer

cos 540° =
−1

Angle in radians: 540° = 3π. 540° = 360° + 180° — a full turn plus 180°: the point is on the x-axis, (−1, 0).

cos 540° = cos(540° − 360°) = cos 180°

P(cos 540°, sin 540°) = (−1, 0)

xyOP

P(cos 540°, sin 540°) = (−1, 0)

Highlighted: the projection on the x-axis — cosine, x = −1.

+1 turn: the drawing shows 180°.

All four functions of 540°
FunctionExact valueDecimal
sin 540°00
cos 540°−1−1
tan 540°00
cot 540°undefined—

Reference angle: cos 0° = 1

See Also

FAQ

What is cos 540°?

cos 540° = −1

Why is cos 540° equal to −1?

540° ends at the same point as 180°, (−1, 0), and cosine is its the x-coordinate, so cos 540° = −1.

Why does a calculator show 0.9380 for cos 540?

The calculator is in radian mode (RAD): it takes cos 540 as the cosine of 540 radians, cos 540 rad ≈ 0.9380. Switch it to degrees (DEG): cos 540° = −1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.