A-Level Maths · Year 12 · Pure
Trigonometric Identities and Equations worksheets with answers
Free worksheets for 3 of the 7 lessons in A-Level Maths Trigonometric Identities and Equations, written by qualified teachers. Each lesson has a worksheet, full answers to the worksheet and a homework sheet, as PDFs to print or share. No sign-up needed.
3 of 7 lessons available, more comingAQA 7357 · Edexcel 9MA0
We don't publish answers to the homework, so teachers can set it as independent work.
Lesson 1 of 7
Angles in All Four Quadrants and Exact Values
Places any angle, including negative angles and angles over 360°, in its quadrant and uses CAST to give the sign of sin, cos and tan. Students derive the exact values for 30°, 45° and 60° and use them for related angles.
- AQA 7357
- E1, E3
- Edexcel 9MA0
- 5.1, 5.3
Lesson 2 of 7
Trigonometric Identities
Derives the identities sin²θ + cos²θ ≡ 1 and tan θ ≡ sin θ ÷ cos θ from the unit circle. Students use them to simplify expressions, prove other identities, find exact ratios from one given ratio, and eliminate θ from a pair of equations.
- AQA 7357
- E5 (proofs E8, A-level)
- Edexcel 9MA0
- 5.5
Lesson 3 of 7
Simple Trigonometric Equations
Solves equations such as sin θ = k, cos θ = k and tan θ = k over a given interval. Students find the second solution from the graph or CAST, add or subtract the period to find the rest, and solve a sin θ = b cos θ by dividing by cos θ.
- AQA 7357
- E7
- Edexcel 9MA0
- 5.7
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