Really need help with my hw

sin(x)+tan(x)=sin(x)(......)

 = sec(x)+1

sin(x)+tan(x)=sin(x)(......)

$\sin{(x)} +\tan{(x)} \\ =\sin{(x)} + \frac{ \sin{(x)} } { \cos{(x)}} \\ =\sin{(x)}\cdot \left (1 + \frac{ 1 } { \cos{(x)}} \right) \\$