Tan 40 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 40°?
Answer
tan 40° ≈
0.8391
Angle in radians: 40° = 2π/9. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. tan 40° can't be written with square roots: 40° is not a multiple of 3°.
tan 40° = sin 40° / cos 40° ≈ 0.8391
P(cos 40°, sin 40°) ≈ (0.7660, 0.6428)
T(1, tan 40°) ≈ (1, 0.8391) — 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 40°?
tan 40° ≈ 0.8391
Why does tan 40° 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°. 40° is not, so no such exact form exists; the value is used as a decimal: tan 40° ≈ 0.8391.
Why does a calculator show −1.1172 for tan 40?
The calculator is in radian mode (RAD): it takes tan 40 as the tangent of 40 radians, tan 40 rad ≈ −1.1172. Switch it to degrees (DEG): tan 40° ≈ 0.8391. 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 30 Degrees: Tangent of 30° on the Unit Circle
- Tan 31 Degrees: Tangent of 31° on the Unit Circle
- Tan 32 Degrees: Tangent of 32° on the Unit Circle
- Tan 33 Degrees: Tangent of 33° on the Unit Circle
- Tan 34 Degrees: Tangent of 34° on the Unit Circle
- 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 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 45 Degrees: Tangent of 45° 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
- Тангенс 40 градусов (tg 40°) на единичной окружности
- Tangente de 40 grados (tan 40°) en el círculo unitario
- Tangente de 40 graus (tg 40°) no ciclo trigonométrico