Tan 215 Degrees

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

What is tan 215°?

Answer

tan 215° ≈
0.7002

Angle in radians: 215° = 43π/36. The point of the angle is in quadrant III, where tangent is positive.

≈ — rounded to 4 decimal places. tan 215° can't be written with square roots: 215° is not a multiple of 3°.

tan 215° = tan(180° + 35°) = tan 35° ≈ 0.7002

tan 215° = sin 215° / cos 215° ≈ 0.7002

xyOP

P(cos 215°, sin 215°) ≈ (−0.8192, −0.5736)

T(1, tan 215°) ≈ (1, 0.7002) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed).

All four functions of 215°
FunctionExact valueDecimal
sin 215°—≈ −0.5736
cos 215°—≈ −0.8192
tan 215°—≈ 0.7002
cot 215°—≈ 1.4281

Reference angle: tan 35° ≈ 0.7002

See Also

FAQ

What is tan 215°?

tan 215° ≈ 0.7002

Why does tan 215° 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°. 215° is not, so no such exact form exists; the value is used as a decimal: tan 215° ≈ 0.7002.

Why does a calculator show 4.9561 for tan 215?

The calculator is in radian mode (RAD): it takes tan 215 as the tangent of 215 radians, tan 215 rad ≈ 4.9561. Switch it to degrees (DEG): tan 215° ≈ 0.7002. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.