Cos 37 Degrees

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

What is cos 37°?

Answer

cos 37° ≈
0.7986

Angle in radians: 37° = 37π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 37° can't be written with square roots: 37° is not a multiple of 3°.

P(cos 37°, sin 37°) ≈ (0.7986, 0.6018)

xyOP

P(cos 37°, sin 37°) ≈ (0.7986, 0.6018)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.7986.

All four functions of 37°
FunctionExact valueDecimal
sin 37°—≈ 0.6018
cos 37°—≈ 0.7986
tan 37°—≈ 0.7536
cot 37°—≈ 1.3270

See Also

FAQ

What is cos 37°?

cos 37° ≈ 0.7986

Why does cos 37° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 37° is not, so no such exact form exists; the value is used as a decimal: cos 37° ≈ 0.7986.

Why does a calculator show 0.7654 for cos 37?

The calculator is in radian mode (RAD): it takes cos 37 as the cosine of 37 radians, cos 37 rad ≈ 0.7654. Switch it to degrees (DEG): cos 37° ≈ 0.7986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.