Question

plz tell 32nd ques...​

Answer 1

Step-by-step explanation:

$\frac{ \tan(a) + \sin(a) }{ \tan(a) - \sin(a) }$

$= \frac{ \frac{ \sin(a) }{ \cos(a) } + \sin(a) }{ \frac{ \sin(a) }{ \cos(a) } - \sin(a) }$

$= \frac{ \sin(a)( \frac{1}{ \cos(a) } + 1) }{ \sin(a)( \frac{1}{ \cos(a) } - 1) }$

$= \frac{ \frac{1}{ \cos(a) } + 1 }{ \frac{1}{ \cos(a) } - 1 }$

$= \frac{ \sec(a) + 1 }{ \sec(a) - 1 }$