Question

Please explain your answer. THX!!!

Answer 1

tan(5x/8)

Explanation:

given expression

`(tan(1/2x)+tan(1/8x))/(1-tan(1/2x)tan(1/8x))`

Using the trigonometric identity

tan(a+b)=
`(tan(a) + tan(b))/(1-tan(a)tan(b))`

here a= 1/2x and b=1/8x

putting the values we get

=tan(1/2x+1/8x)

=tan(5/8x)!