Cos 90 Degrees

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

What is cos 90°?

Answer

cos 90° =
0

Angle in radians: 90° = π/2. The point of the angle is on the y-axis: (0, 1).

P(cos 90°, sin 90°) = (0, 1)

xyOP

P(cos 90°, sin 90°) = (0, 1)

The point lies on the y-axis, so its projection on the x-axis is 0: cos 90° = 0.

All four functions of 90°
FunctionExact valueDecimal
sin 90°11
cos 90°00
tan 90°undefined—
cot 90°00

See Also

FAQ

What is cos 90°?

cos 90° = 0

Why is cos 90° equal to 0?

The point of 90° on the unit circle is (0, 1), and cosine is its the x-coordinate, so cos 90° = 0.

Why does a calculator show −0.4481 for cos 90?

The calculator is in radian mode (RAD): it takes cos 90 as the cosine of 90 radians, cos 90 rad ≈ −0.4481. Switch it to degrees (DEG): cos 90° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.