Sin 450 Degrees

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

What is sin 450°?

Answer

sin 450° =
1

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

sin 450° = sin(450° − 360°) = sin 90°

P(cos 450°, sin 450°) = (0, 1)

xyOP

P(cos 450°, sin 450°) = (0, 1)

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

+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: sin 90° = 1

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
360°0
390°1/2
400°≈ 0.6428
450°1
540°0
570°−1/2
690°−1/2

FAQ

What is sin 450°?

sin 450° = 1

Why is sin 450° equal to 1?

450° ends at the same point as 90°, (0, 1), and sine is its the y-coordinate, so sin 450° = 1.

Why does a calculator show −0.6833 for sin 450?

The calculator is in radian mode (RAD): it takes sin 450 as the sine of 450 radians, sin 450 rad ≈ −0.6833. Switch it to degrees (DEG): sin 450° = 1. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also