Question

solve for 0<_x<2pi
2sinxcosx=tanx

Answer 1

\[2 \sin(x) \cos(x)=\frac{sin(x)}{\cos(x)} \]
\[2 \sin(x) \cos^2(x)=\sin(x)\]
\[2 \sin(x) \cos^2(x)-\sin(x)=0\]
\[\sin(x)[2 \cos^2(x)-1]=0\]
set both factors equal to 0

Answer 2

thanks

Answer 3

np