At 12 noon the temperature in Harry's house is 22∘C22^{\circ}\text{C}22∘C At 6 pm the temperature in Harry's house is 25∘C25^{\circ}\text{C}25∘C
Harry models the temperature in his house, TTT, by the formula
T=A+Bsin(15h) T = A + B \sin(15h) T=A+Bsin(15h)where h h\,h is the number of hours after 12 noon.
State the value that Harry should use for AAA.
State the value that Harry should use for BBB.
Using this model, calculate the temperature in Harry's house at 9 pm.
Using the model find the number of hours in a day that the temperature will be above 23.5∘C23.5^{\circ}\text{C}23.5∘C
Practise AQA A Level Maths 1.8 E: Trigonometry with exam-style questions for A Level Maths. 239 questions 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, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
