The limacon r=1+csin(θ has an inner loop when |c|> 1|.(a) when c> 1, determine the range of values of θ that correspond to the inner loop. for your answer, list the values of ,θ, where 0≤θ< 2π,, at which the loop begins and ends, giving these values in increasing order. your answer may depend on c. smaller value of θ: ? larger value of θ: ? (b) when c< −1 determine the range of values of θ that correspond to the inner loop. for your answer, list the values of θ, where 0≤θ< 2π, at which the loop begins and ends, giving these values in increasing order. your answer may depend on c. smaller value of θ? larger value of θ: ?