Tan 127 Degrees

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

What is tan 127°?

Answer

tan 127° ≈
−1.3270

Angle in radians: 127° = 127π/180. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 127° can't be written with square roots: 127° is not a multiple of 3°.

tan 127° = tan(180° − 53°) = −tan 53° ≈ −1.3270

tan 127° = sin 127° / cos 127° ≈ −1.3270

xyOP

P(cos 127°, sin 127°) ≈ (−0.6018, 0.7986)

T(1, tan 127°) ≈ (1, −1.3270) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 127°
FunctionExact valueDecimal
sin 127°—≈ 0.7986
cos 127°—≈ −0.6018
tan 127°—≈ −1.3270
cot 127°—≈ −0.7536

Reference angle: tan 53° ≈ 1.3270

See Also

FAQ

What is tan 127°?

tan 127° ≈ −1.3270

Why does tan 127° 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°. 127° is not, so no such exact form exists; the value is used as a decimal: tan 127° ≈ −1.3270.

Why does a calculator show 4.1859 for tan 127?

The calculator is in radian mode (RAD): it takes tan 127 as the tangent of 127 radians, tan 127 rad ≈ 4.1859. Switch it to degrees (DEG): tan 127° ≈ −1.3270. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.