Cos 80 Degrees

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

What is cos 80°?

Answer

cos 80° ≈
0.1736

Angle in radians: 80° = 4π/9. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 80° can't be written with square roots: 80° is not a multiple of 3°.

P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

xyOP

P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.1736.

All four functions of 80°
FunctionExact valueDecimal
sin 80°—≈ 0.9848
cos 80°—≈ 0.1736
tan 80°—≈ 5.6713
cot 80°—≈ 0.1763

See Also

FAQ

What is cos 80°?

cos 80° ≈ 0.1736

Why does cos 80° 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°. 80° is not, so no such exact form exists; the value is used as a decimal: cos 80° ≈ 0.1736.

Why does a calculator show −0.1104 for cos 80?

The calculator is in radian mode (RAD): it takes cos 80 as the cosine of 80 radians, cos 80 rad ≈ −0.1104. Switch it to degrees (DEG): cos 80° ≈ 0.1736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.