Trigonometry Identities

Trig Identity Verifier

Choose an identity, enter an angle θ, and see both sides evaluated numerically. The LHS and RHS are also graphed as separate curves — when they overlap perfectly, the identity is verified.

8 common identities
Numerical verification
LHS vs RHS graph
Live
Inputs
Identity to verify
sin²θ + cos²θ = 1
Angle θ (degrees)
Angle B (degrees)
Verification
Select an identity and press Verify.
✓ VERIFIED
LHS
RHS
Difference |LHS − RHS|
Algebraic Proof (LHS → RHS)
Hide steps
Graph — LHS (teal) vs RHS (orange) — they should overlap
Pythagorean Identities
sin²θ + cos²θ = 1 tan²θ + 1 = sec²θ  (divide by cos²θ) 1 + cot²θ = csc²θ  (divide by sin²θ)

All three Pythagorean identities come from dividing x² + y² = r² by different terms. On the unit circle (r=1), this gives sin²θ + cos²θ = 1 directly.

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