Cos 52 Degrees

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

What is cos 52°?

Answer

cos 52° ≈
0.6157

Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 52° can't be written with square roots: 52° is not a multiple of 3°.

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

xyOP

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.6157.

All four functions of 52°
FunctionExact valueDecimal
sin 52°—≈ 0.7880
cos 52°—≈ 0.6157
tan 52°—≈ 1.2799
cot 52°—≈ 0.7813

See Also

FAQ

What is cos 52°?

cos 52° ≈ 0.6157

Why does cos 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: cos 52° ≈ 0.6157.

Why does a calculator show −0.1630 for cos 52?

The calculator is in radian mode (RAD): it takes cos 52 as the cosine of 52 radians, cos 52 rad ≈ −0.1630. Switch it to degrees (DEG): cos 52° ≈ 0.6157. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.