Trigonometric Identity Calculator

Use our free trigonometric identity calculator to compute sin, cos, tan, cot, sec, csc and verify sin²θ + cos²θ = 1.

Math

Angle (θ)

Angle Unit

Formula

This calculator evaluates all six trigonometric functions for a given angle and verifies the fundamental Pythagorean identity sin²θ + cos²θ = 1.

All six trig functions + sin²θ + cos²θ = 1

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter an angle.
2Choose degrees or radians.
3Click Calculate to see all six trig values and the identity check.

Examples

θ=45°

1.sin=cos≈0.7071, tan=cot=1, sec=csc≈1.4142
2.sin²+cos² = 0.5+0.5 = 1

Result: 1.0000000000

θ=0°

1.sin=0, cos=1, tan=0
2.csc and cot are undefined
3.sin²+cos² = 0+1 = 1

Result: 1.0000000000

Frequently Asked Questions

It always equals 1 for any angle (Pythagorean identity).

Six: sine, cosine, tangent, cotangent, secant, cosecant.

Some functions are undefined at certain angles (e.g., tan 90°).

The detailed breakdown shows all six function values.

It follows from the Pythagorean theorem on the unit circle.

Related Calculators

Sine Calculator Cosine Calculator Tangent Calculator Cotangent Calculator Secant Calculator Cosecant Calculator

CalculateMe Team

Last updated: 2026-07-14

Trigonometric Identity Calculator

Formula

How It Works

Examples

θ=45°

θ=0°

Frequently Asked Questions

What is sin²θ + cos²θ?

How many trig functions?

What if a function is undefined?

What is the breakdown?

Why is sin²+cos²=1?

Related Calculators

Trigonometric Identity Calculator

Formula

How It Works

Examples

θ=45°

θ=0°

Frequently Asked Questions

What is sin²θ + cos²θ?

How many trig functions?

What if a function is undefined?

What is the breakdown?

Why is sin²+cos²=1?

Related Calculators