Cos 106 Degrees

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

What is cos 106°?

Answer

cos 106° ≈
−0.2756

Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where cosine is negative.

≈ — rounded to 4 decimal places. cos 106° can't be written with square roots: 106° is not a multiple of 3°.

cos 106° = cos(180° − 74°) = −cos 74° ≈ −0.2756

P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

xyOP

P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

Highlighted: the projection on the x-axis — cosine, x ≈ −0.2756.

All four functions of 106°
FunctionExact valueDecimal
sin 106°—≈ 0.9613
cos 106°—≈ −0.2756
tan 106°—≈ −3.4874
cot 106°—≈ −0.2867

Reference angle: cos 74° ≈ 0.2756

See Also

FAQ

What is cos 106°?

cos 106° ≈ −0.2756

Why does cos 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: cos 106° ≈ −0.2756.

Why does a calculator show 0.6865 for cos 106?

The calculator is in radian mode (RAD): it takes cos 106 as the cosine of 106 radians, cos 106 rad ≈ 0.6865. Switch it to degrees (DEG): cos 106° ≈ −0.2756. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.