Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
[tex]\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}[/tex]
Split the fraction:
[tex]\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =[/tex]
First fraction reduces to 1:
[tex]1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =[/tex]
Simpify each with common arguments:
[tex]1 - tan(v)cot(u)[/tex]
