Question

sin(4x)tan(4x)=sin(4x)

I know that if you divide by sin(4x) you're going to lose a ton of potential answers...so what should I do?

Answer 1

sin(4x)tan(4x)-sin(4x)=0
sin(4x)(tan(4x)-1)=0
sin(4x)=0
and tan(4x)-1=0
now solve them seperately

Answer 2

you wont loose any answer

Answer 3

I cant believe I didnt factor it! Thanks Hashir

Answer 4

no problem...... u r welcome

Answer 5

Keep in mind that if you divide both sides by sin(4x), you'll have to worry about a ton of restrictions on x (to avoid division by zero). So dividing both sides by this quantity is not a good idea.

Answer 6

so nobody was dividing it !!!!!