Maths - Reciprocal Trig Functions


What is $\csc\theta$?


\[\frac{1}{\sin\theta}\]

What is $\sec\theta$?


\[\frac{1}{\cos\theta}\]

What is $\cot\theta$?


\[\frac{1}{\tan\theta}\]

What is $\csc\theta$ in terms of triangle sides?


\[\frac{\text{hyp}}{\text{opp}}\]

What is $\sec\theta$ in terms of triangle sides?


\[\frac{\text{hyp}}{\text{adj}}\]

What is $\cot\theta$ in terms of triangle sides?


\[\frac{\text{adj}}{\text{opp}}\]

2021-02-22

\[\cos^2 x + \sin^2 x = 1\]

What do you get if you divide both sides by $\cos^2 x$?


\[1 + \tan^2 x = \sec^2 x\]
\[\sin^2 x + \cos^2 x = 1\]

What do you get if you divide both sides by $\sin^2 x$?


\[1 + \cot^2 x = \csc^2 x\]

What is the identity linking $\tan^2 x$ and $\sec^2 x$?


\[1 + \tan^2 x = \sec^2 x\]

What is the identity linking $\cot^2 x$ and $\csc^2 x$?


\[1 + \cot^2 x = \csc^2 x\]



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