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Trig Identity Verifier – Verify Trigonometric Identities Online

Verify any trigonometric identity online with our free trig identity verifier. Simplifies both sides of an equation to check if the identity holds using fundamental trig rules.

Trigonometric Identity Verifier
Enter both sides of the equation to verify if it's a valid identity.

Supported functions: sin, cos, tan, csc, sec, cot

Operations: +, -, *, /, ^2, ^3

Common Trigonometric Identities

Pythagorean Identities

sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = csc²θ

Quotient Identities

tanθ = sinθ / cosθ
cotθ = cosθ / sinθ

Co-function Identities

sin(90° - θ) = cosθ
cos(90° - θ) = sinθ
tan(90° - θ) = cotθ

Even-Odd Identities

sin(-θ) = -sinθ
cos(-θ) = cosθ
tan(-θ) = -tanθ
Frequently Asked Questions

How does the verifier work?

The calculator tests the equation at multiple angle values. If both sides give the same result for all test angles, it's likely a valid identity. This numerical approach catches most identities but isn't a formal proof.

Can I use variables like x or θ?

No, just enter the expressions using sin, cos, tan, etc. The calculator automatically tests multiple angles to verify the identity holds for all values.

What if I get undefined values?

Some identities have restrictions. For example, tan is undefined at 90°. The verifier skips angles where either side is undefined.

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