Sin 59 Degrees

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

What is sin 59°?

Answer

sin 59° ≈
0.8572

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

≈ — rounded to 4 decimal places. sin 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 y-axis — sine, y ≈ 0.8572.

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 ↑

Sine of nearby angles

Anglesin
56°≈ 0.8290
57°≈ 0.8387
58°≈ 0.8480
59°≈ 0.8572
60°√3/2
61°≈ 0.8746
62°≈ 0.8829

FAQ

What is sin 59°?

sin 59° ≈ 0.8572

Why does sin 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: sin 59° ≈ 0.8572.

Why does a calculator show 0.6367 for sin 59?

The calculator is in radian mode (RAD): it takes sin 59 as the sine of 59 radians, sin 59 rad ≈ 0.6367. Switch it to degrees (DEG): sin 59° ≈ 0.8572. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also