Unit Circle Calculator
Sine, cosine and tangent of any angle.
Reviewed by the Calculation Machine team · How we check our maths
Your values
ⓘ Live results
Results
- Coordinates
- (-0.707107, 0.707107)
- sin θ
- 0.707107
- cos θ
- -0.707107
- tan θ
- -1
- Radians
- 2.356194
- Quadrant
- Q2
Quick answer
On the unit circle, a point at angle θ has coordinates (cos θ, sin θ), and tan θ is their ratio.
The formula
(x, y) = (cos θ, sin θ)
Worked example
Worked example
Using the values the calculator loads with.
Inputs
- Angle135
- UnitDegrees
Result
- Coordinates(-0.707107, 0.707107)
- sin θ0.707107
- cos θ-0.707107
- tan θ-1
- Radians2.356194
- QuadrantQ2
How to use the Unit Circle Calculator
- 1Enter the angle.
- 2Choose degrees or radians.
- 3Read the trig values and quadrant.
Frequently asked questions
Why is tan undefined at 90°?
Cosine is zero there, so the ratio divides by zero.
What are the common angles?
0, 30, 45, 60 and 90 degrees have exact surd values worth memorising.
About this calculator
- Built and reviewed by the Calculation Machine team · How we build and test calculators
- Report an error