Tan 175 Degrees

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

What is tan 175°?

Answer

tan 175° ≈
−0.0875

Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where tangent is negative.

≈ — rounded to 4 decimal places. tan 175° can't be written with square roots: 175° is not a multiple of 3°.

tan 175° = tan(180° − 5°) = −tan 5° ≈ −0.0875

tan 175° = sin 175° / cos 175° ≈ −0.0875

xyOP

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

T(1, tan 175°) ≈ (1, −0.0875) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 175°
FunctionExact valueDecimal
sin 175°—≈ 0.0872
cos 175°—≈ −0.9962
tan 175°—≈ −0.0875
cot 175°—≈ −11.4301

Reference angle: tan 5° ≈ 0.0875

See Also

FAQ

What is tan 175°?

tan 175° ≈ −0.0875

Why does tan 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: tan 175° ≈ −0.0875.

Why does a calculator show −1.3386 for tan 175?

The calculator is in radian mode (RAD): it takes tan 175 as the tangent of 175 radians, tan 175 rad ≈ −1.3386. Switch it to degrees (DEG): tan 175° ≈ −0.0875. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.