Tan 86 Degrees

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

What is tan 86°?

Answer

tan 86° ≈
14.3007

Angle in radians: 86° = 43π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 86° can't be written with square roots: 86° is not a multiple of 3°.

tan 86° = sin 86° / cos 86° ≈ 14.3007

xyOP

P(cos 86°, sin 86°) ≈ (0.0698, 0.9976)

T(1, tan 86°) ≈ (1, 14.3007) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 86°
FunctionExact valueDecimal
sin 86°—≈ 0.9976
cos 86°—≈ 0.0698
tan 86°—≈ 14.3007
cot 86°—≈ 0.0699

See Also

FAQ

What is tan 86°?

tan 86° ≈ 14.3007

Why does tan 86° 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°. 86° is not, so no such exact form exists; the value is used as a decimal: tan 86° ≈ 14.3007.

Why does a calculator show 2.4067 for tan 86?

The calculator is in radian mode (RAD): it takes tan 86 as the tangent of 86 radians, tan 86 rad ≈ 2.4067. Switch it to degrees (DEG): tan 86° ≈ 14.3007. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.