Cos 179 Degrees

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

What is cos 179°?

Answer

cos 179° ≈
−0.9998

Angle in radians: 179° = 179π/180. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 179° can't be written with square roots: 179° is not a multiple of 3°.

cos 179° = cos(180° − 1°) = −cos 1° ≈ −0.9998

P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

xyOP

P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.9998.

All four functions of 179°
FunctionExact valueDecimal
sin 179°—≈ 0.0175
cos 179°—≈ −0.9998
tan 179°—≈ −0.0175
cot 179°—≈ −57.2900

Reference angle: cos 1° ≈ 0.9998

See Also

FAQ

What is cos 179°?

cos 179° ≈ −0.9998

Why does cos 179° 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°. 179° is not, so no such exact form exists; the value is used as a decimal: cos 179° ≈ −0.9998.

Why does a calculator show −0.9975 for cos 179?

The calculator is in radian mode (RAD): it takes cos 179 as the cosine of 179 radians, cos 179 rad ≈ −0.9975. Switch it to degrees (DEG): cos 179° ≈ −0.9998. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.