Cos 67 Degrees

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

What is cos 67°?

Answer

cos 67° ≈
0.3907

Angle in radians: 67° = 67π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 67° can't be written with square roots: 67° is not a multiple of 3°.

P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

xyOP

P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.3907.

All four functions of 67°
FunctionExact valueDecimal
sin 67°—≈ 0.9205
cos 67°—≈ 0.3907
tan 67°—≈ 2.3559
cot 67°—≈ 0.4245

See Also

FAQ

What is cos 67°?

cos 67° ≈ 0.3907

Why does cos 67° 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°. 67° is not, so no such exact form exists; the value is used as a decimal: cos 67° ≈ 0.3907.

Why does a calculator show −0.5178 for cos 67?

The calculator is in radian mode (RAD): it takes cos 67 as the cosine of 67 radians, cos 67 rad ≈ −0.5178. Switch it to degrees (DEG): cos 67° ≈ 0.3907. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.