Trigonometry Calculator
Calculate sine, cosine, tangent, and their inverses for any angle.
What Is the Trigonometry Calculator?
The trigonometry calculator computes all six trigonometric functions for any angle. Enter an angle in degrees or radians and get instant values for sine, cosine, tangent, cosecant, secant, and cotangent.
Formula
How to Use
Enter an angle value, select degrees or radians, and click Calculate. All six trig functions are computed simultaneously.
Example Calculation
For 30°: sin = 0.5, cos ≈ 0.866, tan ≈ 0.577, csc = 2, sec ≈ 1.155, cot ≈ 1.732.
Understanding Trigonometry
Trigonometry studies the relationships between angles and side lengths in triangles. The six trigonometric functions are fundamental to mathematics, physics, engineering, and computer graphics.
Sine and cosine describe circular motion and wave patterns. They appear in sound waves, alternating current, signal processing, and orbital mechanics. Tangent relates to slopes and angles of elevation.
The reciprocal functions (cosecant, secant, cotangent) extend these relationships and are important in calculus and advanced mathematics. This calculator provides all six values simultaneously with high precision.
Frequently Asked Questions
What is the difference between degrees and radians?
Degrees divide a full circle into 360 parts. Radians measure angle by arc length — a full circle is 2π radians. To convert: radians = degrees × π/180.
Why is tangent sometimes undefined?
Tangent equals sin/cos. When cos is zero (at 90°, 270°, etc.), division by zero makes tangent undefined.
What are the reciprocal functions?
Cosecant = 1/sin, Secant = 1/cos, Cotangent = 1/tan. They are undefined when their base function equals zero.