Trigonometric Functions Calculator
Calculate sine, cosine, tangent, secant, cosecant, and cotangent from an angle in degrees or radians with quadrant, reference angle, and unit-circle visual.
Trigonometric Functions Calculator inputs
Change the calculator-specific fields below. The result, checks, and visual update from this calculator’s own formula engine.
Trigonometric Functions Calculator results
How the sine cosine tangent calculator works
This page is built for the exact search intent represented by sine cosine tangent calculator. It exposes the governing assumptions and supporting quantities instead of returning an unexplained headline number.
Six trigonometric functions
Sine and cosine are the y- and x-coordinates on the unit circle. Tangent is sin/cos. Secant, cosecant, and cotangent are reciprocal relationships and become undefined when their denominators are zero. The calculator reports undefined values explicitly instead of displaying an enormous rounding artifact.
Degrees, radians, and normalization
The input can be degrees or radians. All calculations use radians internally, while the normalized angle and reference angle are shown in degrees for quadrant interpretation. Coterminal angles have the same trigonometric values.
Reference angles and signs
The reference angle is the acute angle between the terminal side and the x-axis. Quadrant signs determine which functions are positive. The live unit-circle point provides a visual check for sine and cosine signs before the numeric result is used.
Reliable-use checklist
Confirm that the selected mode, units, signs, dates, rates, and definitions match the original problem. Retain the detailed output and supporting cards so the answer can be reproduced. Test a known example before relying on a custom case, and use current official or professional guidance when taxes, benefits, safety, contracts, or regulated decisions are involved.
The sine cosine tangent calculator runs locally in the browser. It does not transmit entered values, create an account, or retain a calculation history. Full internal precision is kept during calculation and display rounding is applied only to readable outputs.
Trigonometric Functions Calculator questions
Why is tan 90° undefined?
Cosine is zero at 90 degrees, and tangent divides sine by cosine.
Is sin²θ the same as sin(θ²)?
No. sin²θ means [sin(θ)]².
Can I enter angles larger than 360°?
Yes. The calculator evaluates the entered angle and shows its normalized coterminal angle.