Cos 270 Degrees

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

What is cos 270°?

Answer

cos 270° =
0

Angle in radians: 270° = 3π/2. The point of the angle is on the y-axis: (0, −1).

P(cos 270°, sin 270°) = (0, −1)

xyOP

P(cos 270°, sin 270°) = (0, −1)

The point lies on the y-axis, so its projection on the x-axis is 0: cos 270° = 0.

All four functions of 270°
FunctionExact valueDecimal
sin 270°−1−1
cos 270°00
tan 270°undefined—
cot 270°00

Reference angle: cos 90° = 0

See Also

FAQ

What is cos 270°?

cos 270° = 0

Why is cos 270° equal to 0?

The point of 270° on the unit circle is (0, −1), and cosine is its the x-coordinate, so cos 270° = 0.

Why does a calculator show 0.9844 for cos 270?

The calculator is in radian mode (RAD): it takes cos 270 as the cosine of 270 radians, cos 270 rad ≈ 0.9844. Switch it to degrees (DEG): cos 270° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.