Question

Please help me with this question I also need to see the steps if possible!

Answer 1

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:

$\frac{sin(u)cos(v)-sin(v)cos(u)}{sin(u)cos(v)}$

Split the fraction:

$\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =$

First fraction reduces to 1:

$1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =$

Simpify each with common arguments:

$1 - tan(v)cot(u)$