Cos 53 Degrees

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

What is cos 53°?

Answer

cos 53° ≈
0.6018

Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 53° can't be written with square roots: 53° is not a multiple of 3°.

P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

xyOP

P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.6018.

All four functions of 53°
FunctionExact valueDecimal
sin 53°—≈ 0.7986
cos 53°—≈ 0.6018
tan 53°—≈ 1.3270
cot 53°—≈ 0.7536

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
50°≈ 0.6428
51°≈ 0.6293
52°≈ 0.6157
53°≈ 0.6018
54°√(10 − 2√5)/4
55°≈ 0.5736
56°≈ 0.5592

FAQ

What is cos 53°?

cos 53° ≈ 0.6018

Why does cos 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: cos 53° ≈ 0.6018.

Why does a calculator show −0.9183 for cos 53?

The calculator is in radian mode (RAD): it takes cos 53 as the cosine of 53 radians, cos 53 rad ≈ −0.9183. Switch it to degrees (DEG): cos 53° ≈ 0.6018. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also