In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
A robotic arm's reach RRR (measured in cm) from a central hub is modeled by the equation R(t)=3+2cost2+sint,0≤t≤2πR(t) = \frac{3 + 2 \cos t}{2 + \sin t}, \quad 0 \le t \le 2\piR(t)=2+sint3+2cost,0≤t≤2π where t t\,t is the time in seconds. A technician identifies a point in time M M\,M when the reach is at its absolute minimum.
Show that the value of t t\,t at M M\,M is a solution of the equation 4sint+3cost=−24 \sin t + 3 \cos t = -24sint+3cost=−2
Hence find, to 3 significant figures, the value of t t\,t at the point MMM.
Practise Edexcel A Level Maths 9.5 The Quotient Rule with exam-style questions for A Level Maths. 29 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.