Tan 45 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 45°?
Answer
tan 45° =
1
Angle in radians: 45° = π/4. The point of the angle is in quadrant I, where tangent is positive.
tan 45° = sin 45° / cos 45° = (√2/2) / (√2/2) = 1
An isosceles right triangle with legs 1: the hypotenuse is √2.
tan 45° = 1/1 = 1
P(cos 45°, sin 45°) ≈ (0.7071, 0.7071)
T(1, tan 45°) = (1, 1) — where line OP meets the line x = 1.
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 45°?
tan 45° = 1
How to remember sin 30°, sin 45° and sin 60°?
Write them as √1/2, √2/2, √3/2: sin 30° = 1/2, sin 45° = √2/2, sin 60° = √3/2. Cosines are the same numbers in reverse order: cos 30° = √3/2, cos 45° = √2/2, cos 60° = 1/2; tan = sin / cos and cot = cos / sin. Here: tan 45° = 1.
Why does a calculator show 1.6198 for tan 45?
The calculator is in radian mode (RAD): it takes tan 45 as the tangent of 45 radians, tan 45 rad ≈ 1.6198. Switch it to degrees (DEG): tan 45° = 1. 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 35 Degrees: Tangent of 35° on the Unit Circle
- Tan 36 Degrees: Tangent of 36° on the Unit Circle
- Tan 37 Degrees: Tangent of 37° on the Unit Circle
- Tan 38 Degrees: Tangent of 38° on the Unit Circle
- Tan 39 Degrees: Tangent of 39° on the Unit Circle
- Tan 40 Degrees: Tangent of 40° on the Unit Circle
- Tan 41 Degrees: Tangent of 41° on the Unit Circle
- Tan 42 Degrees: Tangent of 42° on the Unit Circle
- Tan 43 Degrees: Tangent of 43° on the Unit Circle
- Tan 44 Degrees: Tangent of 44° on the Unit Circle
- Tan 46 Degrees: Tangent of 46° on the Unit Circle
- Tan 47 Degrees: Tangent of 47° on the Unit Circle
- Tan 48 Degrees: Tangent of 48° on the Unit Circle
- Tan 49 Degrees: Tangent of 49° on the Unit Circle
- Tan 50 Degrees: Tangent of 50° on the Unit Circle
- Tan 51 Degrees: Tangent of 51° on the Unit Circle
- Tan 52 Degrees: Tangent of 52° on the Unit Circle
- Tan 53 Degrees: Tangent of 53° on the Unit Circle
- Tan 54 Degrees: Tangent of 54° on the Unit Circle
- Tan 55 Degrees: Tangent of 55° on the Unit Circle
- Тангенс 45 градусов (tg 45°) на единичной окружности
- Tangente de 45 grados (tan 45°) en el círculo unitario
- Tangente de 45 graus (tg 45°) no ciclo trigonométrico