Tan 227 Degrees

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

What is tan 227°?

Answer

tan 227° ≈
1.0724

Angle in radians: 227° = 227π/180. The point of the angle is in quadrant III, where tangent is positive.

≈ — rounded to 4 decimal places. tan 227° can't be written with square roots: 227° is not a multiple of 3°.

tan 227° = tan(180° + 47°) = tan 47° ≈ 1.0724

tan 227° = sin 227° / cos 227° ≈ 1.0724

xyOP

P(cos 227°, sin 227°) ≈ (−0.6820, −0.7314)

T(1, tan 227°) ≈ (1, 1.0724) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 227°
FunctionExact valueDecimal
sin 227°—≈ −0.7314
cos 227°—≈ −0.6820
tan 227°—≈ 1.0724
cot 227°—≈ 0.9325

Reference angle: tan 47° ≈ 1.0724

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
215°≈ 0.7002
216°√(5 − 2√5)
225°1
227°≈ 1.0724
234°√(25 + 10√5)/5
240°√3
252°√(5 + 2√5)

FAQ

What is tan 227°?

tan 227° ≈ 1.0724

Why does tan 227° 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°. 227° is not, so no such exact form exists; the value is used as a decimal: tan 227° ≈ 1.0724.

Why does a calculator show 1.0407 for tan 227?

The calculator is in radian mode (RAD): it takes tan 227 as the tangent of 227 radians, tan 227 rad ≈ 1.0407. Switch it to degrees (DEG): tan 227° ≈ 1.0724. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also