Tan 106 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 106°?
Answer
tan 106° ≈
−3.4874
Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where tangent is negative.
≈ — rounded to 4 decimal places. tan 106° can't be written with square roots: 106° is not a multiple of 3°.
tan 106° = tan(180° − 74°) = −tan 74° ≈ −3.4874
tan 106° = sin 106° / cos 106° ≈ −3.4874
P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)
T(1, tan 106°) ≈ (1, −3.4874) — where line OP meets the line x = 1, on the extension of the ray beyond O (dashed); T is beyond the drawing, the arrow points to it.
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 106°?
tan 106° ≈ −3.4874
Why does tan 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: tan 106° ≈ −3.4874.
Why does a calculator show −1.0592 for tan 106?
The calculator is in radian mode (RAD): it takes tan 106 as the tangent of 106 radians, tan 106 rad ≈ −1.0592. Switch it to degrees (DEG): tan 106° ≈ −3.4874. 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 86 Degrees: Tangent of 86° on the Unit Circle
- Tan 87 Degrees: Tangent of 87° on the Unit Circle
- Tan 88 Degrees: Tangent of 88° on the Unit Circle
- Tan 89 Degrees: Tangent of 89° on the Unit Circle
- Tan 90 Degrees: Tangent of 90° on the Unit Circle
- Tan 97 Degrees: Tangent of 97° on the Unit Circle
- Tan 98 Degrees: Tangent of 98° on the Unit Circle
- Tan 100 Degrees: Tangent of 100° on the Unit Circle
- Tan 101 Degrees: Tangent of 101° on the Unit Circle
- Tan 105 Degrees: Tangent of 105° on the Unit Circle
- Tan 108 Degrees: Tangent of 108° on the Unit Circle
- Tan 110 Degrees: Tangent of 110° on the Unit Circle
- Tan 120 Degrees: Tangent of 120° on the Unit Circle
- Tan 125 Degrees: Tangent of 125° on the Unit Circle
- Tan 126 Degrees: Tangent of 126° on the Unit Circle
- Tan 127 Degrees: Tangent of 127° on the Unit Circle
- Tan 130 Degrees: Tangent of 130° on the Unit Circle
- Tan 134 Degrees: Tangent of 134° on the Unit Circle
- Tan 135 Degrees: Tangent of 135° on the Unit Circle
- Tan 140 Degrees: Tangent of 140° on the Unit Circle
- Тангенс 106 градусов (tg 106°) на единичной окружности
- Tangente de 106 grados (tan 106°) en el círculo unitario
- Tangente de 106 graus (tg 106°) no ciclo trigonométrico