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3.4 Trigonometry (A-level only)

3.4 Trigonometry (A-level only)

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Question 5

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 4

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

3.4 Trigonometry (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Trigonometry (A-level only)

221 exam-style questions on CCEA A Level Maths 3.4 Trigonometry (A-level only), covering 3.4.1 Trigonometry (A-level only), 3.4.2 Trigonometry (A-level only), 3.4.3 Trigonometry (A-level only), 3.4.4 Trigonometry (A-level only), 3.4.5 Trigonometry (A-level only), 3.4.6 Trigonometry (A-level only), 3.4.7 Trigonometry (A-level only), and 3.4.8 Trigonometry (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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