Sin 50 Degrees

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

What is sin 50°?

Answer

sin 50° ≈
0.7660

Angle in radians: 50° = 5π/18. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 50° can't be written with square roots: 50° is not a multiple of 3°.

P(cos 50°, sin 50°) ≈ (0.6428, 0.7660)

xyOP

P(cos 50°, sin 50°) ≈ (0.6428, 0.7660)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7660.

All four functions of 50°
FunctionExact valueDecimal
sin 50°—≈ 0.7660
cos 50°—≈ 0.6428
tan 50°—≈ 1.1918
cot 50°—≈ 0.8391

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
47°≈ 0.7314
48°≈ 0.7431
49°≈ 0.7547
50°≈ 0.7660
51°≈ 0.7771
52°≈ 0.7880
53°≈ 0.7986

FAQ

What is sin 50°?

sin 50° ≈ 0.7660

Why does sin 50° 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°. 50° is not, so no such exact form exists; the value is used as a decimal: sin 50° ≈ 0.7660.

Why does a calculator show −0.2624 for sin 50?

The calculator is in radian mode (RAD): it takes sin 50 as the sine of 50 radians, sin 50 rad ≈ −0.2624. Switch it to degrees (DEG): sin 50° ≈ 0.7660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also