Verify the equation :
[tex](1+\tan x)^2=\sec ^2x+2\tan x[/tex]solve:
[tex]=(1+\tan x)^2[/tex]Use the formula :
[tex](a+b)^2=a^2+b^2+2ab[/tex][tex]\begin{gathered} =(1+\tan ^{}x)^2 \\ =1^2+(\tan x)^2+2(1)(\tan x) \\ =1+\tan ^2x+2\tan x \end{gathered}[/tex]Use the formua:
[tex]1+\tan ^2x=\sec ^2x[/tex][tex]\begin{gathered} =1+\tan ^2x+2\tan x \\ =\sec ^2x+2\tan x \end{gathered}[/tex]