The graphs of sine, cosine and tangent outside the range 0 to 360 degrees

A complete lesson on the graphs of sine, cosine and tangent outside the range 0 to 360 degrees. I’ve also made complete lessons on these functions in the range 0 to 360 degrees.

Designed to come after pupils have been taught about the ratios sine, cosine and tangent in the context of right-angled triangle trigonometry, and looked at the graphs of sine cosine and tangent in the range 0 to 360 degrees. This could also be used as a precursor to solving trigonometric equations in the further maths gcse or A-level.

Activities included:

Starter:
A worksheet where pupils identify key coordinates on the graphs of sine and cosine from 0 to 360 degrees.

Main:

• A reminder of the definitions of sine, cosine and tangent using the unit circle, with a prompt for pupils to discuss what happens outside the range 0 to 360 and a slide to make this clear.
• Three examples of using knowledge of the graphs to effectively solve a trigonometric equation. This isn’t formalised, but done more as a visual puzzle that pupils can answer using symmetry and the fact that the functions are periodic (see cover image).
• A worksheet with a set of similar questions, followed by a related extension task.

Plenary:
A brief summary about sound waves and how pitch and volume is determined.

Printable worksheets and answers included.

Please review if you buy as any feedback is appreciated!