What you need to know
Check yourself against these “I can” statements.
- I can find the sine, cosine and tangent of any angle using the unit circle
- I can recall exact values for 30°, 45° and 60°
- I can use tan θ = sin θ / cos θ and sin²θ + cos²θ = 1
- I can solve trig equations in a given interval, including ones like sin(nθ) = k
- I can solve trig equations that turn into quadratics
Practise this topic
7 resourcesTrigonometric Identities and Equations: Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
🧩 ConnectionsSame Angle (sin, cos, tan)
Sixteen statements such as cos(x + 180°) = 4/5 or sin(180° − x) = 3/5. Each group of four describes the same angle, which could be in any quadrant; you are not told which. Consider the graphs and the triangle to find the one way…
🧩 ConnectionsSimplifying Trig (sin, cos, tan)
Sixteen expressions in sin x, cos x and tan x: find the four that simplify to the same thing, using tan x = sin x ÷ cos x and sin²x + cos²x = 1.
🧩 ConnectionsTrig Exact Values (sin, cos, tan)
Sixteen sin, cos and tan expressions, four values. Easy: special angles such as 30° and 150°. Standard: angles like 37°, linked by the symmetry of the graphs. Hard: identities too (tan x = sin x ÷ cos x, sin²x + cos²x = 1).
📋 Unit reviewTrigonometric Identities and Equations: Exam Questions
Exam-style questions on the whole Trigonometric Identities and Equations chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): exact values, proving…
⬢ BlockbustersTrigonometric Identities and Equations: Spot the Mistake Blockbusters
Blockbusters with the questions from the Trigonometric Identities and Equations: Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
Topics in this unit
- 10.1 Angles in all four quadrants · 2 resources
- 10.2 Exact values of trigonometrical ratios · 2 resources
- 10.3 Trigonometric identities · 2 resources
- 10.4 Simple trigonometric equations · 2 resources
- 10.5 Harder trigonometric equations · 4 resources
- 10.6 Equations and identities · 4 resources
These are the pages for Trigonometric identities and equations in the A Level Maths scheme of work, following Pearson Edexcel A Level Mathematics (9MA0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.