Trigonometry
Intermediate

Identity: 1 + cot² = csc²

Derived Pythagorean identity dividing by sin².

Formula

1+cot⁡2θ=csc⁡2θ1 + \cot^2\theta = \csc^2\theta

Variables

\thetaAngle

Did You Know?

Like its cousins, this identity is the circle's equation x²+y²=1 rewritten in reciprocal ratios.

identitypythagorean