Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

(I’m currently on mobile so sorry for possible bad formatting)

First, recall the trig identity: tan(A-B)=(tan(A)-tan(B))/(1+tan(A)tan(B))

We see that the given equation directly corresponds with this, with A=9x and B=5x.

Thus we can equate the given equation to tan(9x-5x)=tan(4x)
This cannot be simplified further.

Answer 2

Answer:  tan(14x)

Step-by-step explanation:

Consider the Sum Formula for tan:

$tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}$