Tan 450 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 450°?
Answer
tan 450°
is undefined
Angle in radians: 450° = 5π/2. 450° = 360° + 90° — a full turn plus 90°: the point is on the y-axis, (0, 1).
cos 450° = 0, and tan = sin / cos: you can't divide by zero, so the value doesn't exist.
tan 450° = tan(450° − 360°) = tan 90°
tan 450° = sin 450° / cos 450° = 1 / 0
P(cos 450°, sin 450°) = (0, 1)
Line OP of 450° runs parallel to the line x = 1: they never meet, so tan 450° doesn't exist.
+1 turn: the drawing shows 90°.
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
FAQ
What is tan 450°?
tan 450° is undefined
Why does tan 450° not exist?
450° ends at the same point as 90°, (0, 1): cos 450° = 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 0.9358 for tan 450?
The calculator is in radian mode (RAD): it takes tan 450 as the tangent of 450 radians, tan 450 rad ≈ 0.9358. Switch it to degrees (DEG): tan 450° 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 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
- Tan 355 Degrees: Tangent of 355° on the Unit Circle
- Tan 360 Degrees: Tangent of 360° on the Unit Circle
- Tan 390 Degrees: Tangent of 390° on the Unit Circle
- Tan 400 Degrees: Tangent of 400° on the Unit Circle
- Tan 540 Degrees: Tangent of 540° on the Unit Circle
- Tan 570 Degrees: Tangent of 570° on the Unit Circle
- Tan 690 Degrees: Tangent of 690° on the Unit Circle
- Tan 720 Degrees: Tangent of 720° on the Unit Circle
- Тангенс 450 градусов (tg 450°) на единичной окружности
- Tangente de 450 grados (tan 450°) en el círculo unitario
- Tangente de 450 graus (tg 450°) no ciclo trigonométrico