Quotient

Cotangent quotient identity: cot θ = cos θ / sin θ

cotθ=cosθsinθ\cot\theta = \dfrac{\cos\theta}{\sin\theta}

Cotangent is cosine over sine: cot θ = cos θ / sin θ. Together with tan θ = sin θ / cos θ it lets you rewrite any expression in sines and cosines alone - the standard opening move for an identity proof.

Related Quotient identities

Practise it

Reading a formula is not the same as recalling it under time pressure. The workspace drills Quotient questions in the quiz, and the triangle solver shows a worked solution for any triangle you type in.

Or browse all 45 identities in the full reference, or read the trigonometry guides for the method behind them.