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1.8 E: Trigonometry

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Question 18

Figure 1 below shows the sector AOB AOB\,AOB of a circle.

Figure for question 5

A student's attempt to find the area of the sector AOB AOB\,AOB is shown below.

Area =12r2θ=12×62×40=720\displaystyle = \frac{1}{2}r^2\theta = \frac{1}{2} \times 6^2 \times 40 = 720=21​r2θ=21​×62×40=720 cm2^22

a.

Identify the mistake made by the student.

[1]
b.

Write out a correct solution.

[2]
Markscheme

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

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