Cos 35 Degrees

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

What is cos 35°?

Answer

cos 35° ≈
0.8192

Angle in radians: 35° = 7π/36. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 35° can't be written with square roots: 35° is not a multiple of 3°.

P(cos 35°, sin 35°) ≈ (0.8192, 0.5736)

xyOP

P(cos 35°, sin 35°) ≈ (0.8192, 0.5736)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.8192.

All four functions of 35°
FunctionExact valueDecimal
sin 35°—≈ 0.5736
cos 35°—≈ 0.8192
tan 35°—≈ 0.7002
cot 35°—≈ 1.4281

See Also

FAQ

What is cos 35°?

cos 35° ≈ 0.8192

Why does cos 35° 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°. 35° is not, so no such exact form exists; the value is used as a decimal: cos 35° ≈ 0.8192.

Why does a calculator show −0.9037 for cos 35?

The calculator is in radian mode (RAD): it takes cos 35 as the cosine of 35 radians, cos 35 rad ≈ −0.9037. Switch it to degrees (DEG): cos 35° ≈ 0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.