Tan 83 Degrees

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

What is tan 83°?

Answer

tan 83° ≈
8.1443

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

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

tan 83° = sin 83° / cos 83° ≈ 8.1443

xyOP

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

T(1, tan 83°) ≈ (1, 8.1443) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

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

FAQ

What is tan 83°?

tan 83° ≈ 8.1443

Why does tan 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: tan 83° ≈ 8.1443.

Why does a calculator show 3.8806 for tan 83?

The calculator is in radian mode (RAD): it takes tan 83 as the tangent of 83 radians, tan 83 rad ≈ 3.8806. Switch it to degrees (DEG): tan 83° ≈ 8.1443. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.