Cos 110 Degrees
Sin, Cos, Tan, Cot of an Angle
What is cos 110°?
Answer
cos 110° ≈
−0.3420
Angle in radians: 110° = 11π/18. The point of the angle is in quadrant II, where cosine is negative.
≈ — rounded to 4 decimal places. cos 110° can't be written with square roots: 110° is not a multiple of 3°.
cos 110° = cos(180° − 70°) = −cos 70° ≈ −0.3420
P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)
P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)
Highlighted: the projection on the x-axis — cosine, x ≈ −0.3420.
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
Cosine of nearby angles
| Angle | cos |
|---|---|
| 105° | −(√6 − √2)/4 |
| 106° | ≈ −0.2756 |
| 108° | −(√5 − 1)/4 |
| 110° | ≈ −0.3420 |
| 120° | −1/2 |
| 125° | ≈ −0.5736 |
| 126° | −√(10 − 2√5)/4 |
FAQ
What is cos 110°?
cos 110° ≈ −0.3420
Why does cos 110° 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°. 110° is not, so no such exact form exists; the value is used as a decimal: cos 110° ≈ −0.3420.
Why does a calculator show −0.9990 for cos 110?
The calculator is in radian mode (RAD): it takes cos 110 as the cosine of 110 radians, cos 110 rad ≈ −0.9990. Switch it to degrees (DEG): cos 110° ≈ −0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Cos 88 Degrees: Cosine of 88° on the Unit Circle
- Cos 89 Degrees: Cosine of 89° on the Unit Circle
- Cos 90 Degrees: Cosine of 90° on the Unit Circle
- Cos 97 Degrees: Cosine of 97° on the Unit Circle
- Cos 98 Degrees: Cosine of 98° on the Unit Circle
- Cos 100 Degrees: Cosine of 100° on the Unit Circle
- Cos 101 Degrees: Cosine of 101° on the Unit Circle
- Cos 105 Degrees: Cosine of 105° on the Unit Circle
- Cos 106 Degrees: Cosine of 106° on the Unit Circle
- Cos 108 Degrees: Cosine of 108° on the Unit Circle
- Cos 120 Degrees: Cosine of 120° on the Unit Circle
- Cos 125 Degrees: Cosine of 125° on the Unit Circle
- Cos 126 Degrees: Cosine of 126° on the Unit Circle
- Cos 127 Degrees: Cosine of 127° on the Unit Circle
- Cos 130 Degrees: Cosine of 130° on the Unit Circle
- Cos 134 Degrees: Cosine of 134° on the Unit Circle
- Cos 135 Degrees: Cosine of 135° on the Unit Circle
- Cos 140 Degrees: Cosine of 140° on the Unit Circle
- Cos 142 Degrees: Cosine of 142° on the Unit Circle
- Cos 144 Degrees: Cosine of 144° on the Unit Circle
- Косинус 110 градусов (cos 110°) на единичной окружности
- Coseno de 110 grados (cos 110°) en el círculo unitario
- Cosseno de 110 graus (cos 110°) no ciclo trigonométrico