Question

if 1+sin^2x = 3sinxcosx
Then prove tanx = 1 or 1/2

Answer 1

tanx= √sin^x/cos^x now sin^x = 3sinxcosx -1 put it in √sin^x/cos^x. now it will look like this after solving inside the roots and squaring both sides tan^2x = 3tanx-sec^2x. now sec^2x = tan^2x -1 identity. put it in the equation u will get a quadratic equation solve it answer will surely come