Answer:
tan(5x/8)
Step-by-step explanation:
given expression
[tex]\frac{tan(1/2x)+tan(1/8x)}{1-tan(1/2x)tan(1/8x)}[/tex]
Using the trigonometric identity
tan(a+b)= [tex]\frac{tan(a) + tan(b)}{1-tan(a)tan(b)}[/tex]
here a= 1/2x and b=1/8x
putting the values we get
=tan(1/2x+1/8x)
=tan(5/8x)!
