1.5 Trigonometry
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Question 111
Figure 1 below shows the shape ABCDABCDABCD. The sector ABC ABC\,ABC is a sector of a circle with centre A A\,A and radius 7 cm, and the angle BAC BAC\,BAC is 0.6 radians. The angle BAD BAD\,BAD is a right angle, AB=7AB = 7AB=7 cm and AD=5AD = 5AD=5 cm.
a.[1]
Find the length of the arc BCBCBC.
b.[2]
Calculate the area of the sector ABCABCABC.
c.[1]
Find the size of the angle CADCADCAD, in radians.
d.[3]
Find the total area of the shape ABCDABCDABCD, giving your answer to three significant figures.
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.