Question 48
Figure 1 below shows a circle with centre C C\,C and equation
(x+2)2+(y+1)2=25(x + 2)^2 + (y + 1)^2 = 25(x+2)2+(y+1)2=25
The circle intersects the positive xxx-axis at A A\,A and intersects the positive yyy-axis at BBB. The sector ACB ACB\,ACB is shaded on the diagram.
a.[5]
Show that the angle ACB ACB\,ACB is 0.958 radians, correct to three significant figures.
b.[3]
Find the perimeter of the sector ACBACBACB, 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.