Tan 164 Degrees

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

What is tan 164°?

Answer

tan 164° ≈
−0.2867

Angle in radians: 164° = 41π/45. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 164° can't be written with square roots: 164° is not a multiple of 3°.

tan 164° = tan(180° − 16°) = −tan 16° ≈ −0.2867

tan 164° = sin 164° / cos 164° ≈ −0.2867

xyOP

P(cos 164°, sin 164°) ≈ (−0.9613, 0.2756)

T(1, tan 164°) ≈ (1, −0.2867) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 164°
FunctionExact valueDecimal
sin 164°—≈ 0.2756
cos 164°—≈ −0.9613
tan 164°—≈ −0.2867
cot 164°—≈ −3.4874

Reference angle: tan 16° ≈ 0.2867

See Also

FAQ

What is tan 164°?

tan 164° ≈ −0.2867

Why does tan 164° 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°. 164° is not, so no such exact form exists; the value is used as a decimal: tan 164° ≈ −0.2867.

Why does a calculator show 0.7402 for tan 164?

The calculator is in radian mode (RAD): it takes tan 164 as the tangent of 164 radians, tan 164 rad ≈ 0.7402. Switch it to degrees (DEG): tan 164° ≈ −0.2867. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.