Tan 125 Degrees

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

What is tan 125°?

Answer

tan 125° ≈
−1.4281

Angle in radians: 125° = 25π/36. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 125° can't be written with square roots: 125° is not a multiple of 3°.

tan 125° = tan(180° − 55°) = −tan 55° ≈ −1.4281

tan 125° = sin 125° / cos 125° ≈ −1.4281

xyOP

P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

T(1, tan 125°) ≈ (1, −1.4281) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 125°
FunctionExact valueDecimal
sin 125°—≈ 0.8192
cos 125°—≈ −0.5736
tan 125°—≈ −1.4281
cot 125°—≈ −0.7002

Reference angle: tan 55° ≈ 1.4281

See Also

FAQ

What is tan 125°?

tan 125° ≈ −1.4281

Why does tan 125° 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°. 125° is not, so no such exact form exists; the value is used as a decimal: tan 125° ≈ −1.4281.

Why does a calculator show −0.7821 for tan 125?

The calculator is in radian mode (RAD): it takes tan 125 as the tangent of 125 radians, tan 125 rad ≈ −0.7821. Switch it to degrees (DEG): tan 125° ≈ −1.4281. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.