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1.8 E: Trigonometry

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Question 70

Figure 1 below shows the sector OAB OAB\,OAB of a circle. The chord AB AB\,AB divides the sector into a triangle and a shaded segment.

Figure for question 1

The angle AOB AOB\,AOB is π6\displaystyle \frac{\pi}{6}6π​ radians and the radius of the sector is 106 10\sqrt{6}\,106​ m.

Show that the area of the shaded segment is

k(π−3)k(\pi - 3)k(π−3) m2^22

where k k\,k is an integer to be found.

[5]
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