Trig Function Evaluator
How It Works
This trig function evaluator uses established formulas to provide accurate results.
The basic rule:
- sin(θ), cos(θ), tan(θ) = sin(θ)/cos(θ)
- csc(θ) = 1/sin(θ)
- sec(θ) = 1/cos(θ)
- cot(θ) = 1/tan(θ) = cos(θ)/sin(θ)
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What are the six trigonometric functions?
The six trig functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc = 1/sin), secant (sec = 1/cos), and cotangent (cot = 1/tan or cos/sin).
When is tangent undefined?
Tangent is undefined when the cosine equals zero, which occurs at 90°, 270°, or more generally at 90° + 180°n for any integer n. At these angles, the ratio sin/cos involves division by zero.
What is the difference between degrees and radians?
Degrees divide a full circle into 360 parts; radians use the ratio of arc length to radius. One full circle = 360° = 2π radians. To convert: radians = degrees × π/180.
What are the reciprocal trig functions?
Cosecant (csc) is the reciprocal of sine, secant (sec) is the reciprocal of cosine, and cotangent (cot) is the reciprocal of tangent. For example, csc(θ) = 1/sin(θ).