Sin 82 Degrees

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

What is sin 82°?

Answer

sin 82° ≈
0.9903

Angle in radians: 82° = 41π/90. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 82° can't be written with square roots: 82° is not a multiple of 3°.

P(cos 82°, sin 82°) ≈ (0.1392, 0.9903)

xyOP

P(cos 82°, sin 82°) ≈ (0.1392, 0.9903)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9903.

All four functions of 82°
FunctionExact valueDecimal
sin 82°—≈ 0.9903
cos 82°—≈ 0.1392
tan 82°—≈ 7.1154
cot 82°—≈ 0.1405

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
79°≈ 0.9816
80°≈ 0.9848
81°≈ 0.9877
82°≈ 0.9903
83°≈ 0.9925
84°≈ 0.9945
85°≈ 0.9962

FAQ

What is sin 82°?

sin 82° ≈ 0.9903

Why does sin 82° 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°. 82° is not, so no such exact form exists; the value is used as a decimal: sin 82° ≈ 0.9903.

Why does a calculator show 0.3132 for sin 82?

The calculator is in radian mode (RAD): it takes sin 82 as the sine of 82 radians, sin 82 rad ≈ 0.3132. Switch it to degrees (DEG): sin 82° ≈ 0.9903. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also