Trigonometry – Graphs

March 13, 2023

Scheme of work: GCSE Higher: Year 11: Term 1: Trigonometry – Graphs

Prerequisite Knowledge

Know the trigonometric ratios.
Apply them to find angles and lengths in right-angled triangles and, where possible, general triangles in two and three dimensional figures

Success Criteria

Know the exact values of and for = 0°, 30°, 45°, 60° and 90°;
Recognise, sketch and interpret graphs of trigonometric functions (with arguments in degrees) y = sin x , y = cos x and y = tan x for angles of any size

Key Concepts

Trigonometric graphs have lines of symmetry that can be used to find additional solutions to equations.
Trigonometric ratios of 30°, 45° and 60° have exact forms that can be calculated using the special triangles.
The relationship Tan x¸ = Sin x, Cos x¸ can be seen from the asymptotes in the tan graph

Common Misconceptions

Students often forget to rationalise Sin45° and Cos45°.
When solving trigonometric equations students often forget to use the graphs to include all solutions.
In examinations students often confuse the coordinates, e.g., (0,180) with (180,0)

Trigonometric Graphs Resources

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