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 times, to the nearest minute, when the temperature is equal to 17 Degrees Celsius.
137 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.