For a repeating function, the period is the distance of one repetition of the entire function.

Drawing the tangent graph

Maths

In the prior unit, pupils explored the trigonometric ratios for right-angled triangles in a variety of situations. In this unit, pupils explore what can be done when we have a triangle that is not right-angled.

Non right-angled trigonometry

What other types of graphs have undefined values?

They increase upwards rapidly and have asymptotes so have undefined values. 

The look like a wave with a maximum of 1 and minimum of -1.

A period is seen using $$ 0°\leq x \leq 360° $$.

What do the sine and cosine graphs look like?

Using the interval, $$ 0°\leq x \leq 360° $$, match the local maximum coordinates with the trigonometric graph.

Using the interval, $$ 0°\leq x \leq 360° $$, match the local minimum coordinates with the trigonometric graph.

How many times does a tangent intersect a circle?

Using Desmos and an $$x$$ axis interval of $$0°\leq x\leq 720°$$, how many times does the cosine graph pass through the $$x$$ axis?

Using Desmos and an $$x$$ axis interval of $$ 0°\leq x\leq 720°$$, how many times does the sine graph pass through the $$x$$ axis?

Starter Quiz