?? - 2014 q9
9. (a) Express
in the form
where R and a are constants, R>0 and 0<a<π /2
Give the value of a to 3 decimal places. (3)
Give the value of a to 3 decimal places. (3)
(b) Find
(i) the maximum value of H(θ)
(ii) the smallest value of θ, for 0 ≤ θ <π at which this maximum value occurs. (3)
(c) Find
(i) the minimum value of H(θ)
(ii) the largest value for θ, for 0 ≤ θ <π, at which this minimal value occurs (3)
(i) the maximum value of H(θ)
(ii) the smallest value of θ, for 0 ≤ θ <π at which this maximum value occurs. (3)
(c) Find
(i) the minimum value of H(θ)
(ii) the largest value for θ, for 0 ≤ θ <π, at which this minimal value occurs (3)