Trigonometric Identities Calculator

Verify common trigonometric identities or enter your own formulas to test them across multiple angles.

Common Trigonometric Identities:

Pythagorean:
sin²x + cos²x = 1
1 + tan²x = sec²x
1 + cot²x = csc²x

Reciprocal:
sin(x) = 1 / csc(x)
cos(x) = 1 / sec(x)
tan(x) = 1 / cot(x)

Double-Angle:
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²x − sin²x
tan(2x) = 2 tan(x) / (1 − tan²x)

Trigonometric identities are equations that hold true for all angle values. They simplify expressions and solve equations elegantly.