Cos 450 Degrees

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

What is cos 450°?

Answer

cos 450° =
0

Angle in radians: 450° = 5π/2. 450° = 360° + 90° — a full turn plus 90°: the point is on the y-axis, (0, 1).

cos 450° = cos(450° − 360°) = cos 90°

P(cos 450°, sin 450°) = (0, 1)

xyOP

P(cos 450°, sin 450°) = (0, 1)

The point lies on the y-axis, so its projection on the x-axis is 0: cos 450° = 0.

+1 turn: the drawing shows 90°.

All four functions of 450°
FunctionExact valueDecimal
sin 450°11
cos 450°00
tan 450°undefined—
cot 450°00

Reference angle: cos 90° = 0

See Also

FAQ

What is cos 450°?

cos 450° = 0

Why is cos 450° equal to 0?

450° ends at the same point as 90°, (0, 1), and cosine is its the x-coordinate, so cos 450° = 0.

Why does a calculator show −0.7302 for cos 450?

The calculator is in radian mode (RAD): it takes cos 450 as the cosine of 450 radians, cos 450 rad ≈ −0.7302. Switch it to degrees (DEG): cos 450° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.