Cos 175 Degrees

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

What is cos 175°?

Answer

cos 175° ≈
−0.9962

Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 175° can't be written with square roots: 175° is not a multiple of 3°.

cos 175° = cos(180° − 5°) = −cos 5° ≈ −0.9962

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

xyOP

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.9962.

All four functions of 175°
FunctionExact valueDecimal
sin 175°—≈ 0.0872
cos 175°—≈ −0.9962
tan 175°—≈ −0.0875
cot 175°—≈ −11.4301

Reference angle: cos 5° ≈ 0.9962

See Also

FAQ

What is cos 175°?

cos 175° ≈ −0.9962

Why does cos 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: cos 175° ≈ −0.9962.

Why does a calculator show 0.5985 for cos 175?

The calculator is in radian mode (RAD): it takes cos 175 as the cosine of 175 radians, cos 175 rad ≈ 0.5985. Switch it to degrees (DEG): cos 175° ≈ −0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.