Reciprocal identities relate trigonometric functions to their reciprocals:

  • \boldsymbol{\csc \theta = \frac{1}{\sin \theta}}
  • \boldsymbol{\sec \theta = \frac{1}{\cos \theta}}
  • \boldsymbol{\cot \theta = \frac{1}{\tan \theta}}
  • \boldsymbol{\sin \theta = \frac{1}{\csc \theta}}
  • \boldsymbol{\cos \theta = \frac{1}{\sec \theta}}
  • \boldsymbol{\tan \theta = \frac{1}{\cot \theta}}