Tan 134 Degrees

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

What is tan 134°?

Answer

tan 134° ≈
−1.0355

Angle in radians: 134° = 67π/90. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 134° can't be written with square roots: 134° is not a multiple of 3°.

tan 134° = tan(180° − 46°) = −tan 46° ≈ −1.0355

tan 134° = sin 134° / cos 134° ≈ −1.0355

xyOP

P(cos 134°, sin 134°) ≈ (−0.6947, 0.7193)

T(1, tan 134°) ≈ (1, −1.0355) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 134°
FunctionExact valueDecimal
sin 134°—≈ 0.7193
cos 134°—≈ −0.6947
tan 134°—≈ −1.0355
cot 134°—≈ −0.9657

Reference angle: tan 46° ≈ 1.0355

See Also

FAQ

What is tan 134°?

tan 134° ≈ −1.0355

Why does tan 134° 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°. 134° is not, so no such exact form exists; the value is used as a decimal: tan 134° ≈ −1.0355.

Why does a calculator show −1.9100 for tan 134?

The calculator is in radian mode (RAD): it takes tan 134 as the tangent of 134 radians, tan 134 rad ≈ −1.9100. Switch it to degrees (DEG): tan 134° ≈ −1.0355. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.