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Sin Cos Tan Calculator

Last updated: June 17, 2026

Written by Blake Boege · Founder, Calculator Answers

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.

Angle value

Enter any positive or negative angle. · e.g. 45

Angle unit

Trigonometric Values

Primary Results for 45°

sin = 0.7071

cos = 0.7071 · tan = 1

sine: sin(θ)0.7071

cosine: cos(θ)0.7071

tangent: tan(θ) = sin/cos1

cosecant: csc(θ) = 1/sin1.4142

secant: sec(θ) = 1/cos1.4142

cotangent: cot(θ) = cos/sin1

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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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