Question

Sec^2xtanx=2tanx

Answer 1

(1/cos^2x)tanx=2tanx
1/cos^2x=2tanx/tanx
1/cos^2x=2
1/cosx=root2
root2*cosx=1
cosx=1/root2
cosx=root2/2
x=pi/4, 3pi/4

Answer 2

i mean pi/4 and 7pi/4

Answer 3

\[\sec^2(x)\tan(x)-2 \tan(x)=0 \\ \tan(x)[\sec^2(x)-2]=0 \\\ \text{ two equations to solve } \\ \tan(x)=0 \text{ or } \sec^2(x)-2=0\]

Answer 4

Thanks