Tan 270 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 270°?
Answer
tan 270°
is undefined
Angle in radians: 270° = 3π/2. The point of the angle is on the y-axis: (0, −1).
cos 270° = 0, and tan = sin / cos: you can't divide by zero, so the value doesn't exist.
tan 270° = sin 270° / cos 270° = (−1) / 0
P(cos 270°, sin 270°) = (0, −1)
Line OP of 270° runs parallel to the line x = 1: they never meet, so tan 270° doesn't exist.
See Also
- Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples
Tangent of nearby angles
FAQ
What is tan 270°?
tan 270° is undefined
Why does tan 270° not exist?
The point of 270° on the unit circle is (0, −1): cos 270° = 0, and tan = sin / cos would divide by zero. On the unit circle line OP runs parallel to the line x = 1 and never meets it.
Why does a calculator show −0.1788 for tan 270?
The calculator is in radian mode (RAD): it takes tan 270 as the tangent of 270 radians, tan 270 rad ≈ −0.1788. Switch it to degrees (DEG): tan 270° is undefined. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Tan 210 Degrees: Tangent of 210° on the Unit Circle
- Tan 211 Degrees: Tangent of 211° on the Unit Circle
- Tan 215 Degrees: Tangent of 215° on the Unit Circle
- Tan 216 Degrees: Tangent of 216° on the Unit Circle
- Tan 225 Degrees: Tangent of 225° on the Unit Circle
- Tan 227 Degrees: Tangent of 227° on the Unit Circle
- Tan 234 Degrees: Tangent of 234° on the Unit Circle
- Tan 240 Degrees: Tangent of 240° on the Unit Circle
- Tan 252 Degrees: Tangent of 252° on the Unit Circle
- Tan 255 Degrees: Tangent of 255° on the Unit Circle
- Tan 285 Degrees: Tangent of 285° on the Unit Circle
- Tan 288 Degrees: Tangent of 288° on the Unit Circle
- Tan 300 Degrees: Tangent of 300° on the Unit Circle
- Tan 306 Degrees: Tangent of 306° on the Unit Circle
- Tan 315 Degrees: Tangent of 315° on the Unit Circle
- Tan 324 Degrees: Tangent of 324° on the Unit Circle
- Tan 330 Degrees: Tangent of 330° on the Unit Circle
- Tan 341 Degrees: Tangent of 341° on the Unit Circle
- Tan 342 Degrees: Tangent of 342° on the Unit Circle
- Tan 345 Degrees: Tangent of 345° on the Unit Circle
- Тангенс 270 градусов (tg 270°) на единичной окружности
- Tangente de 270 grados (tan 270°) en el círculo unitario
- Tangente de 270 graus (tg 270°) no ciclo trigonométrico