Tan 82 Degrees

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

What is tan 82°?

Answer

tan 82° ≈
7.1154

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

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

tan 82° = sin 82° / cos 82° ≈ 7.1154

xyOP

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

T(1, tan 82°) ≈ (1, 7.1154) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

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

FAQ

What is tan 82°?

tan 82° ≈ 7.1154

Why does tan 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: tan 82° ≈ 7.1154.

Why does a calculator show 0.3298 for tan 82?

The calculator is in radian mode (RAD): it takes tan 82 as the tangent of 82 radians, tan 82 rad ≈ 0.3298. Switch it to degrees (DEG): tan 82° ≈ 7.1154. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.