The instantaneous power output P(t)P(t)P(t) of a specific alternating current component, measured in Watts, is modeled by the function:
P(t)=(3sin2t+5cos2t)2P(t) = (3\sin 2t + 5\cos 2t)^2P(t)=(3sin2t+5cos2t)2
where ttt is the time in seconds. The total energy E(t)E(t)E(t) transferred by the component is given by E(t)=∫P(t) dtE(t) = \int P(t) \, dtE(t)=∫P(t)dt.
Determine the general expression for E(t)E(t)E(t) in its simplest form.
Practise Edexcel A Level Maths 11.3 Using Trigonometric Identities with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) 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.