Question

if tan ϑ =3/4 then tan 2 ϑ +sec 2 ϑ =? ​

Answer 1

$\frac{ \sin(2x) }{ \cos(2x) } + \frac{1}{ \cos(2x) } \\ \frac{1 + \sin(2x) }{ \cos(2x) }$

$\frac{( \sin(x) + \cos(x)) ^{2} }{ { \cos(x) }^{2} - { \sin(x) }^{2} } = \frac{ \sin(x ) + \cos(x) }{ \cos(x ) - \sin(x) } = \frac{1 + \tan(x) }{1 - \tan(x) }$

$\frac{1 + \frac{3 }{4} }{1 - \frac{3}{4} } = \frac{7 \div 4}{1 \div 4} = 7$

Answer 2

yes it is correct ...........