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1.8 E: Trigonometry

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Question 57

Figure 1 below shows the sector ABC ABC\,ABC of a circle with centre A A\,A and radius 5 m. The angle BAC BAC\,BAC is 0.5 radians. The point M M\,M is the midpoint of ACACAC, and the shaded region is bounded by the arc BCBCBC, the line segment BM BM\,BM and the line segment MCMCMC.

Figure for question 7

a.

Find the length of the arc BCBCBC.

[2]
b.

Calculate the area of the sector ABCABCABC.

[1]
c.

Find the perimeter of the shaded region, giving your answer to three significant figures.

[3]
d.

Find the area of the shaded region, giving your answer to three significant figures.

[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.

Question bank