# Math Help - Need help with solving this trig equation

1. ## Need help with solving this trig equation

Hi, I need help with solving this problem:

(sinx+2cosx)/(sinx-cosx)=2. Find the exact value of tan2x.

Any help would be appreciated

2. ## Re: Need help with solving this trig equation

Originally Posted by quanta
Hi, I need help with solving this problem:

(sinx+2cosx)/(sinx-cosx)=2. Find the exact value of tan2x.

Any help would be appreciated
multiply both sides by (sinx-cosx)

do the algebra and see what it tells you about the relation between cosx and sinx.

then take tan2x and split it into sin2x/cos2x and expand that out using trig identities.

Then plug in what you found from your equation above.