Sin 90 Degrees

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

What is sin 90°?

Answer

sin 90° =
1

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)

Highlighted: the projection on the y-axis — sine, y = 1.

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

See Also

FAQ

What is sin 90°?

sin 90° = 1

Why is sin 90° equal to 1?

The point of 90° on the unit circle is (0, 1), and sine is its the y-coordinate, so sin 90° = 1.

Why does a calculator show 0.8940 for sin 90?

The calculator is in radian mode (RAD): it takes sin 90 as the sine of 90 radians, sin 90 rad ≈ 0.8940. Switch it to degrees (DEG): sin 90° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.