What formula should I look At for this Question?

Question

Fill in the blank to complete the trigonometric formula.

? = 3 sin(u) / 1+ Cos (u)

Answer 1

3tan(u/2) = 3sin(u)/(1 + cos(u));

sin(u)/(1 + cos(u)) = 2sin(u/2)cos(u/2)/2cos²(u/2) = sin(u/2)/cos(u/2) = tan(u/2)

Answer 2

You can change the denominator by multiplying by (1-cos (u))/(1- cos(u))

This would give you 3 sin (u)(1-cos(u))/(1 -cos^2(u)) = 3 sin (u)(1-cos(u))/sin^2(u) =

3(1 -cos(u))/sin(u) = 3csc(u) - 3cot(u)

I'm not sure if this is the answer that you have in mind.