?? - 2016 Q3 ANSWERS
3.
a) Express 2cosθ-sinθ in the form Rcos(θ+a), where R and a are constants, R > 0 and 0 < a < 90. Give the exact value of R and give the value of a to 2 decimal places. [3]
b) Hence solve, for 0 ≤ θ < 360 ° ,
a) Express 2cosθ-sinθ in the form Rcos(θ+a), where R and a are constants, R > 0 and 0 < a < 90. Give the exact value of R and give the value of a to 2 decimal places. [3]
b) Hence solve, for 0 ≤ θ < 360 ° ,
c) Use your solutions to parts (a) and (b) to deduce the smallest positive value θ for which
Give your answer to one decimal place. (2)