Cos 167 Degrees

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

What is cos 167°?

Answer

cos 167° ≈
−0.9744

Angle in radians: 167° = 167π/180. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 167° can't be written with square roots: 167° is not a multiple of 3°.

cos 167° = cos(180° − 13°) = −cos 13° ≈ −0.9744

P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

xyOP

P(cos 167°, sin 167°) ≈ (−0.9744, 0.2250)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.9744.

All four functions of 167°
FunctionExact valueDecimal
sin 167°—≈ 0.2250
cos 167°—≈ −0.9744
tan 167°—≈ −0.2309
cot 167°—≈ −4.3315

Reference angle: cos 13° ≈ 0.9744

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
162°−√(10 + 2√5)/4
164°≈ −0.9613
165°−(√6 + √2)/4
167°≈ −0.9744
175°≈ −0.9962
179°≈ −0.9998
180°−1

FAQ

What is cos 167°?

cos 167° ≈ −0.9744

Why does cos 167° 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°. 167° is not, so no such exact form exists; the value is used as a decimal: cos 167° ≈ −0.9744.

Why does a calculator show −0.8797 for cos 167?

The calculator is in radian mode (RAD): it takes cos 167 as the cosine of 167 radians, cos 167 rad ≈ −0.8797. Switch it to degrees (DEG): cos 167° ≈ −0.9744. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also