The temperature, f(t)f(t)f(t) degrees Celsius, of a building is modelled by the formula
f(t)=16+4sin(15t)∘0≤t<24 f(t) = 16 + 4 \sin(15t)^\circ \quad 0 \leq t < 24 f(t)=16+4sin(15t)∘0≤t<24where t t\,t is the number of hours after midday.
State the maximum and minimum temperature of the building according to the model.
Find the temperature, to the nearest degree Celsius, at 13:00 and 23:00.
348 exam-style questions on Edexcel A Level Maths Trigonometry and Modelling, covering 7.1 Addition Formulae, 7.2 Double Angle Formulae, 7.3 Solving Trigonometric Equations, 7.4 Simplifying a cos x +- b sin x, 7.5 Proving Trigonometric Identities, and 7.6 Modelling with Trigonometric Functions. Each one has a worked solution and a mark scheme showing where the marks go.