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Sin Cos Tan Calculator
Last updated: June 19, 2026
A sin cos tan calculator evaluates the primary trigonometric functions (sine, cosine, and tangent) and their reciprocal functions (cosecant, secant, and cotangent) for a given angle. The user can toggle between degrees and radians. The calculator handles edge cases where functions like tangent or secant are undefined (e.g., at 90 degrees or pi/2 radians) by displaying 'undefined' rather than crashing.
Calculate standard and reciprocal trigonometric values for any angle in degrees or radians.
Quick Answer
Find the sine, cosine, and tangent of an angle in degrees or radians. Computes all standard and reciprocal trigonometric functions.
Enter any positive or negative angle. · e.g. 45
Angle unit
Primary Results for 45°
sin = 0.7071
cos = 0.7071 · tan = 1
Examples
30 Degrees
30° — sin = 0.5000 · cos = 0.8660 · tan = 0.5774
pi/2 Radians (90°)
1.5708 rad (π/2) — sin = 1.0000 · cos = 0 · tan = Undefined
How it works
Unit Circle Definitions
Trigonometric functions can be defined using coordinates on a unit circle (a circle with radius 1 centered at the origin):
- sin(θ) = y-coordinate
- cos(θ) = x-coordinate
- tan(θ) = y / x
Reciprocal Ratios
- csc(θ) = 1 / sin(θ)
- sec(θ) = 1 / cos(θ)
- cot(θ) = 1 / tan(θ)
Disclaimer
For educational purposes. Verify results for critical applications.
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Frequently asked questions
The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan). They relate the angles of a right triangle to the ratios of its sides.
Reciprocal functions are defined as 1 divided by a primary function: Cosecant (csc = 1/sin), Secant (sec = 1/cos), and Cotangent (cot = 1/tan).
Tangent is defined as sine divided by cosine. At 90 degrees, cosine is equal to 0, which means tangent requires dividing by 0. Because division by zero is mathematically undefined, tangent at 90° (and 270°, etc.) is undefined.
To convert degrees to radians, multiply the angle in degrees by pi and divide by 180. Formula: radians = degrees × (π / 180).
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