Trigonometry Calculator
Calculate all six trigonometric functions (sin, cos, tan, csc, sec, cot) for any angle in degrees or radians.
Results
What is it?
Trigonometry studies the relationships between angles and sides of triangles. The three primary functions are sine (sin), cosine (cos), and tangent (tan). The three reciprocal functions — cosecant (csc = 1/sin), secant (sec = 1/cos), and cotangent (cot = 1/tan) — complete the six standard trig functions.
How to use
Enter an angle and choose whether it is in degrees or radians. All six trig values are computed simultaneously. Note: values marked 9999 indicate the function is undefined at that angle (e.g., tan(90°) = undefined).
Example scenario
At θ = 45°: sin(45°) = cos(45°) = √2/2 ≈ 0.7071, tan(45°) = 1. This is the famous 45-45-90 triangle where both legs are equal. A ramp rising 1 meter over 1 meter of horizontal run makes a 45° angle.
Pro tip
SOHCAHTOA: Sin = Opposite/Hypotenuse, Cos = Adjacent/Hypotenuse, Tan = Opposite/Adjacent. The unit circle (radius 1) gives sin and cos directly as y and x coordinates. Key values: 0°(0,1), 30°(½,√3/2), 45°(√2/2,√2/2), 60°(√3/2,½), 90°(1,0). Trig functions appear in wave physics, electrical engineering (AC circuits), and navigation.