Cos 39 Degrees

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

What is cos 39°?

Answer

cos 39° ≈
0.7771

Angle in radians: 39° = 13π/60. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. An exact form of cos 39° in square roots exists, but it is unwieldy — nested radicals.

P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

xyOP

P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.7771.

All four functions of 39°
FunctionExact valueDecimal
sin 39°—≈ 0.6293
cos 39°—≈ 0.7771
tan 39°—≈ 0.8098
cot 39°—≈ 1.2349

See Also

FAQ

What is cos 39°?

cos 39° ≈ 0.7771

Is there an exact value of cos 39°?

Yes: 39° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cos 39° ≈ 0.7771.

Why does a calculator show 0.2666 for cos 39?

The calculator is in radian mode (RAD): it takes cos 39 as the cosine of 39 radians, cos 39 rad ≈ 0.2666. Switch it to degrees (DEG): cos 39° ≈ 0.7771. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.