Question 23
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.
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.
1.5 Trigonometry Questions
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.