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:

`(sin(u)cos(v)-sin(v)cos(u))/(sin(u)cos(v))`

Split the fraction:

`(sin(u)cos(v))/(sin(u)cos(v)) - (sin(v)cos(u))/(sin(u)cos(v)) =`

First fraction reduces to 1:

`1 - (sin(v)cos(u))/(sin(u)cos(v)) =`

Simpify each with common arguments:

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