Reciprocal Trig Functions - Graphs (Edexcel A-Level Mathematics): Flashcards

$\csc \theta = \frac{1}{\sin \theta}$

$\csc \theta$ is undefined at $\sin \theta = 0$

At $\theta = 0°, 180°, 360°, ...$

Mirrors sine wave, flipped and stretched.

$360°$ or $2pi$ radians

$\sec \theta = \frac{1}{\cos \theta}$

$\sec \theta$ is undefined at $\cos \theta = 0$

At $\theta = 90°, 270°, 450°, ...$

$\cot \theta = \frac{1}{\tan \theta} = \frac{\cos \theta}{\sin \theta}$

Decreasing curve, from positive to negative infinity.