Sin 83 Degrees

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

What is sin 83°?

Answer

sin 83° ≈
0.9925

Angle in radians: 83° = 83π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 83° can't be written with square roots: 83° is not a multiple of 3°.

P(cos 83°, sin 83°) ≈ (0.1219, 0.9925)

xyOP

P(cos 83°, sin 83°) ≈ (0.1219, 0.9925)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9925.

All four functions of 83°
FunctionExact valueDecimal
sin 83°—≈ 0.9925
cos 83°—≈ 0.1219
tan 83°—≈ 8.1443
cot 83°—≈ 0.1228

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
80°≈ 0.9848
81°≈ 0.9877
82°≈ 0.9903
83°≈ 0.9925
84°≈ 0.9945
85°≈ 0.9962
86°≈ 0.9976

FAQ

What is sin 83°?

sin 83° ≈ 0.9925

Why does sin 83° 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°. 83° is not, so no such exact form exists; the value is used as a decimal: sin 83° ≈ 0.9925.

Why does a calculator show 0.9684 for sin 83?

The calculator is in radian mode (RAD): it takes sin 83 as the sine of 83 radians, sin 83 rad ≈ 0.9684. Switch it to degrees (DEG): sin 83° ≈ 0.9925. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also