Tan 355 Degrees

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

What is tan 355°?

Answer

tan 355° ≈
−0.0875

Angle in radians: 355° = 71π/36. The point of the angle is in quadrant IV, where tangent is negative.

≈ — rounded to 4 decimal places. tan 355° can't be written with square roots: 355° is not a multiple of 3°.

tan 355° = tan(360° − 5°) = −tan 5° ≈ −0.0875

tan 355° = sin 355° / cos 355° ≈ −0.0875

xyOP

P(cos 355°, sin 355°) ≈ (0.9962, −0.0872)

T(1, tan 355°) ≈ (1, −0.0875) — where line OP meets the line x = 1.

All four functions of 355°
FunctionExact valueDecimal
sin 355°—≈ −0.0872
cos 355°—≈ 0.9962
tan 355°—≈ −0.0875
cot 355°—≈ −11.4301

Reference angle: tan 5° ≈ 0.0875

See Also

FAQ

What is tan 355°?

tan 355° ≈ −0.0875

Why does tan 355° 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°. 355° is not, so no such exact form exists; the value is used as a decimal: tan 355° ≈ −0.0875.

Why does a calculator show 0.0000301 for tan 355?

The calculator is in radian mode (RAD): it takes tan 355 as the tangent of 355 radians, tan 355 rad ≈ 0.0000301. Switch it to degrees (DEG): tan 355° ≈ −0.0875. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.