Cos 125 Degrees

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

What is cos 125°?

Answer

cos 125° ≈
−0.5736

Angle in radians: 125° = 25π/36. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 125° can't be written with square roots: 125° is not a multiple of 3°.

cos 125° = cos(180° − 55°) = −cos 55° ≈ −0.5736

P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

xyOP

P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.5736.

All four functions of 125°
FunctionExact valueDecimal
sin 125°—≈ 0.8192
cos 125°—≈ −0.5736
tan 125°—≈ −1.4281
cot 125°—≈ −0.7002

Reference angle: cos 55° ≈ 0.5736

See Also

FAQ

What is cos 125°?

cos 125° ≈ −0.5736

Why does cos 125° 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°. 125° is not, so no such exact form exists; the value is used as a decimal: cos 125° ≈ −0.5736.

Why does a calculator show 0.7877 for cos 125?

The calculator is in radian mode (RAD): it takes cos 125 as the cosine of 125 radians, cos 125 rad ≈ 0.7877. Switch it to degrees (DEG): cos 125° ≈ −0.5736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.