🎓 Mathematics • Trigonometry
100% Client-Side Privacy
Trigonometry Calculator
Solves trigonometric and reciprocal functions in degrees and radians with unit circle values.
Unit Circle Angles:
Trigonometric Functions & Unit Circle Calculator
Angle = 45° = 0.7854 rad (≈ 0.25π)
Trigonometric Ratios & Unit Circle Coordinates
(cos θ, sin θ) = (0.7071, 0.7071)
Sinesin(θ) = 0.7071Exact: √2/2
Cosinecos(θ) = 0.7071Exact: √2/2
Tangenttan(θ) = 1Exact: 1
Cosecant (1/sin)csc(θ) = 1.4142
Secant (1/cos)sec(θ) = 1.4142
Cotangent (1/tan)cot(θ) = 1
What is Trigonometry?
Studies relationships between angles and lengths of triangles, foundational to oscillations and wave theory.
Formula & Step-by-Step Calculation
sin(θ) = Opp / Hyp, cos(θ) = Adj / Hyp, tan(θ) = Opp / Adj
Standard trigonometric definitions for right triangles.
Worked Step-by-Step Examples
Example 1
sin(90°)
Solution: 1
• On the unit circle, angle 90° has coordinate (0, 1). sin(90°) = 1.
Common Real-World & Academic Use Cases
- ✓ Wave and AC electrical analysis
- ✓ GPS bearings
- ✓ Computer animation rotational kinematics
How to Use the Trigonometry Calculator
1
Enter Angle
Input angle.
2
Choose Unit
Select Degrees or Radians.
3
Inspect Trig Values
Review all 6 trigonometric values.
Frequently Asked Questions
Q: What is secant?
Secant is the reciprocal of cosine: sec(θ) = 1 / cos(θ).