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

Drawing the tangent graph

Maths

Checking and securing understanding of trigonometric ratios

Drawing the sine and cosine graphs

Interpreting the trigonometric graphs

The area of any triangle

Calculating the area of any triangle when the height is not known

The sine rule

The cosine rule

Using the sine and cosine rules

Considering the appropriate trigonometric rule

Problem solving with non right-angled trigonometry

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.

In this unit, pupils explore how to apply knowledge in trigonometry to non right-angled triangles.

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?

Drawing the tangent graph

Lesson outcome