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 Edexcel AS Level Maths Trigonometric Identities and Equations with exam-style questions for AS Level Maths. 30 questions covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.