Maths - Reciprocal Trig Functions

2021-02-20
1 min read
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 $\csc^2 x$??

$$ 1 + \cot^2 x = \csc^2 x $$


Metadata
date: 2021-02-20 12:00
tags:
- '@?maths'
- '@?further-maths'
- '@?public'
- '@?trigonometry'
title: Maths - Reciprocal Trig Functions