Cot 45 Degrees

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

What is cot 45°?

Answer

cot 45° =
1

Angle in radians: 45° = π/4. The point of the angle is in quadrant I, where cotangent is positive.

cot 45° = cos 45° / sin 45° = (√2/2) / (√2/2) = 1

An isosceles right triangle with legs 1: the hypotenuse is √2.

cot 45° = 1/1 = 1

xyOP

P(cos 45°, sin 45°) ≈ (0.7071, 0.7071)

C(cot 45°, 1) = (1, 1) — where line OP meets the line y = 1.

All four functions of 45°
FunctionExact valueDecimal
sin 45°√2/2≈ 0.7071
cos 45°√2/2≈ 0.7071
tan 45°11
cot 45°11

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
42°≈ 1.1106
43°≈ 1.0724
44°≈ 1.0355
45°1
46°≈ 0.9657
47°≈ 0.9325
48°≈ 0.9004

FAQ

What is cot 45°?

cot 45° = 1

How to remember sin 30°, sin 45° and sin 60°?

Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: cot 45° = 1.

Why does a calculator show 0.6174 for cot 45?

The calculator is in radian mode (RAD): it takes cot 45 as the cotangent of 45 radians, cot 45 rad ≈ 0.6174. Switch it to degrees (DEG): cot 45° = 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