Question

1+cosø÷1-cosø=(cosecø+cotø)^2

Answer 1

multiply numerator and denomintor of lhs by 1+cos Φ and simplify u ll get the ans .

u have to exapnd (1+ cos Φ )²
and write (1-cos Φ) (1+ cos Φ) =sin²x (fig. out how)

and sperate the fraction

Answer 2

$\frac{1 + \cos( \alpha ) }{1 - \cos( \alpha ) } \times \frac{1 + \cos( \alpha ) }{1 + \cos( \alpha ) }$
$= {(1 + \cos( \alpha )) }^{2} \div (1 - { \cos( \alpha ) }^{2} )$
$= \frac{ {(1 + \cos( \alpha ) )}^{2} }{ { \sin( \alpha ) }^{2} } \\ = {( \frac{1 + \cos( \alpha ) }{ \sin( \alpha ) }) }^{2}$
$= {( \frac{1}{ \sin( \alpha ) } + \frac{ \cos( \alpha ) }{ \sin( \alpha ) } )}^{2} \\ = {( \csc( \alpha) + \cot( \alpha ) ) }^{2}$
Mark this answer as brainliest answer