Cos 65 Degrees

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

What is cos 65°?

Answer

cos 65° ≈
0.4226

Angle in radians: 65° = 13π/36. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 65° can't be written with square roots: 65° is not a multiple of 3°.

P(cos 65°, sin 65°) ≈ (0.4226, 0.9063)

xyOP

P(cos 65°, sin 65°) ≈ (0.4226, 0.9063)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.4226.

All four functions of 65°
FunctionExact valueDecimal
sin 65°—≈ 0.9063
cos 65°—≈ 0.4226
tan 65°—≈ 2.1445
cot 65°—≈ 0.4663

See Also

FAQ

What is cos 65°?

cos 65° ≈ 0.4226

Why does cos 65° 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°. 65° is not, so no such exact form exists; the value is used as a decimal: cos 65° ≈ 0.4226.

Why does a calculator show −0.5625 for cos 65?

The calculator is in radian mode (RAD): it takes cos 65 as the cosine of 65 radians, cos 65 rad ≈ −0.5625. Switch it to degrees (DEG): cos 65° ≈ 0.4226. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.