Tan 130 Degrees

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

What is tan 130°?

Answer

tan 130° ≈
−1.1918

Angle in radians: 130° = 13π/18. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 130° can't be written with square roots: 130° is not a multiple of 3°.

tan 130° = tan(180° − 50°) = −tan 50° ≈ −1.1918

tan 130° = sin 130° / cos 130° ≈ −1.1918

xyOP

P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

T(1, tan 130°) ≈ (1, −1.1918) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 130°
FunctionExact valueDecimal
sin 130°—≈ 0.7660
cos 130°—≈ −0.6428
tan 130°—≈ −1.1918
cot 130°—≈ −0.8391

Reference angle: tan 50° ≈ 1.1918

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
125°≈ −1.4281
126°−√(25 + 10√5)/5
127°≈ −1.3270
130°≈ −1.1918
134°≈ −1.0355
135°−1
140°≈ −0.8391

FAQ

What is tan 130°?

tan 130° ≈ −1.1918

Why does tan 130° 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°. 130° is not, so no such exact form exists; the value is used as a decimal: tan 130° ≈ −1.1918.

Why does a calculator show 2.5323 for tan 130?

The calculator is in radian mode (RAD): it takes tan 130 as the tangent of 130 radians, tan 130 rad ≈ 2.5323. Switch it to degrees (DEG): tan 130° ≈ −1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also