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1.8.6 Compound and double angle formulae (A-level only)

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Question 11

By writing $\sin 3A\,$ as $sin⁡(2A+A)\sin(2A + A)$ , show that $sin 3A = 3\sin A - 4\sin^3 A$

[2]

Solve, for $\leq A \leq \pi$ , the equation,

3\sin A - 4\sin^3 A = \frac{1}{\sqrt{2}}

Give your answers in terms of $π\pi$ .

[4]

Markscheme

1.8.6 Compound and double angle formulae (A-level only) Questions

A Level
Maths
1.8.6 Compound and double angle formulae (A-level only)

46 exam-style questions on AQA A Level Maths 1.8.6 Compound and double angle formulae (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.8.6 Compound and double angle formulae (A-level only)

Question bank

1.8.6 Compound and double angle formulae (A-level only)

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39

Question 11

By writing $\sin 3A\,$ as $sin⁡(2A+A)\sin(2A + A)$ , show that $sin 3A = 3\sin A - 4\sin^3 A$

[2]

Solve, for $\leq A \leq \pi$ , the equation,

3\sin A - 4\sin^3 A = \frac{1}{\sqrt{2}}

Give your answers in terms of $π\pi$ .

[4]

Markscheme

1.8.6 Compound and double angle formulae (A-level only) Questions

A Level
Maths
1.8.6 Compound and double angle formulae (A-level only)

46 exam-style questions on AQA A Level Maths 1.8.6 Compound and double angle formulae (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.