Math Calculators

Trig Identity Verifier (Pythagorean Identity)

Verify the Pythagorean trigonometric identity sin²θ + cos²θ = 1 for any angle you choose.

sin²(θ) —

cos²(θ) —

sin²(θ) + cos²(θ) —

About the Trig Identity Verifier (Pythagorean Identity)

The Pythagorean identity is one of the most important relationships in trigonometry: for any angle, the square of its sine plus the square of its cosine always equals exactly 1.

Formula: sin²(θ) + cos²(θ) = 1

This identity follows directly from the Pythagorean theorem applied to the unit circle, and it's used constantly to simplify trigonometric expressions and derive other identities.