Sin 53 Degrees

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

What is sin 53°?

Answer

sin 53° ≈
0.7986

Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 53° can't be written with square roots: 53° is not a multiple of 3°.

P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

xyOP

P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7986.

All four functions of 53°
FunctionExact valueDecimal
sin 53°—≈ 0.7986
cos 53°—≈ 0.6018
tan 53°—≈ 1.3270
cot 53°—≈ 0.7536

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
50°≈ 0.7660
51°≈ 0.7771
52°≈ 0.7880
53°≈ 0.7986
54°(√5 + 1)/4
55°≈ 0.8192
56°≈ 0.8290

FAQ

What is sin 53°?

sin 53° ≈ 0.7986

Why does sin 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: sin 53° ≈ 0.7986.

Why does a calculator show 0.3959 for sin 53?

The calculator is in radian mode (RAD): it takes sin 53 as the sine of 53 radians, sin 53 rad ≈ 0.3959. Switch it to degrees (DEG): sin 53° ≈ 0.7986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also