Cot 450 Degrees

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

What is cot 450°?

Answer

cot 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).

cot 450° = cot(450° − 360°) = cot 90°

cot 450° = cos 450° / sin 450° = 0 / 1 = 0

xyOP

P(cos 450°, sin 450°) = (0, 1)

C(cot 450°, 1) = (0, 1) — where line OP meets the line 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: cot 90° = 0

See Also

FAQ

What is cot 450°?

cot 450° = 0

Why is cot 450° equal to 0?

450° ends at the same point as 90°, (0, 1), and cot = x / y = 0 / 1 = 0.

Why does a calculator show 1.0686 for cot 450?

The calculator is in radian mode (RAD): it takes cot 450 as the cotangent of 450 radians, cot 450 rad ≈ 1.0686. Switch it to degrees (DEG): cot 450° = 0. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.