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1.5 Trigonometry

1.5 Trigonometry

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Question 50

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

1.5 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Trigonometry

317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank