Tan 211 Degrees

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

What is tan 211°?

Answer

tan 211° ≈
0.6009

Angle in radians: 211° = 211π/180. The point of the angle is in quadrant III, where tangent is positive.

≈ — rounded to 4 decimal places. tan 211° can't be written with square roots: 211° is not a multiple of 3°.

tan 211° = tan(180° + 31°) = tan 31° ≈ 0.6009

tan 211° = sin 211° / cos 211° ≈ 0.6009

xyOP

P(cos 211°, sin 211°) ≈ (−0.8572, −0.5150)

T(1, tan 211°) ≈ (1, 0.6009) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 211°
FunctionExact valueDecimal
sin 211°—≈ −0.5150
cos 211°—≈ −0.8572
tan 211°—≈ 0.6009
cot 211°—≈ 1.6643

Reference angle: tan 31° ≈ 0.6009

See Also

FAQ

What is tan 211°?

tan 211° ≈ 0.6009

Why does tan 211° 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°. 211° is not, so no such exact form exists; the value is used as a decimal: tan 211° ≈ 0.6009.

Why does a calculator show 0.5637 for tan 211?

The calculator is in radian mode (RAD): it takes tan 211 as the tangent of 211 radians, tan 211 rad ≈ 0.5637. Switch it to degrees (DEG): tan 211° ≈ 0.6009. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.