Question

How to simplify:

(tgx+tgy)/(ctgx+ctgy) ?

Answer 1

factor the numerator and denominator then cancell common factors.

Answer 2

how to do it? maybe You can write?:)

Answer 3

numerator: tgx + tgy
what's common to both terms?

Answer 4

what's the same?

Answer 5

ok, i'll do the numerator:
common to both terms are t, g.
so factoring the numerator,
tgx + tgy = tg(x + y)

now you do the same with the denominator....

Answer 6

so: (tg(x+y))/(ctgx+ctgy)... then?

Answer 7

what's common in ctgx + ctgy ?

Answer 8

(tg(x+y))/(ctg(x+y)) ??

Answer 9

yes. now cancel common factors from the top and bottom..

Answer 10

only when the numerator and denominator are factored you can cancel common factors