Cos 59 Degrees

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

What is cos 59°?

Answer

cos 59° ≈
0.5150

Angle in radians: 59° = 59π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 59° can't be written with square roots: 59° is not a multiple of 3°.

P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

xyOP

P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.5150.

All four functions of 59°
FunctionExact valueDecimal
sin 59°—≈ 0.8572
cos 59°—≈ 0.5150
tan 59°—≈ 1.6643
cot 59°—≈ 0.6009

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
56°≈ 0.5592
57°≈ 0.5446
58°≈ 0.5299
59°≈ 0.5150
60°1/2
61°≈ 0.4848
62°≈ 0.4695

FAQ

What is cos 59°?

cos 59° ≈ 0.5150

Why does cos 59° 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°. 59° is not, so no such exact form exists; the value is used as a decimal: cos 59° ≈ 0.5150.

Why does a calculator show −0.7711 for cos 59?

The calculator is in radian mode (RAD): it takes cos 59 as the cosine of 59 radians, cos 59 rad ≈ −0.7711. Switch it to degrees (DEG): cos 59° ≈ 0.5150. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also