Sin 52 Degrees

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

What is sin 52°?

Answer

sin 52° ≈
0.7880

Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 52° can't be written with square roots: 52° is not a multiple of 3°.

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

xyOP

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7880.

All four functions of 52°
FunctionExact valueDecimal
sin 52°—≈ 0.7880
cos 52°—≈ 0.6157
tan 52°—≈ 1.2799
cot 52°—≈ 0.7813

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
49°≈ 0.7547
50°≈ 0.7660
51°≈ 0.7771
52°≈ 0.7880
53°≈ 0.7986
54°(√5 + 1)/4
55°≈ 0.8192

FAQ

What is sin 52°?

sin 52° ≈ 0.7880

Why does sin 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: sin 52° ≈ 0.7880.

Why does a calculator show 0.9866 for sin 52?

The calculator is in radian mode (RAD): it takes sin 52 as the sine of 52 radians, sin 52 rad ≈ 0.9866. Switch it to degrees (DEG): sin 52° ≈ 0.7880. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also