Question

trignomety ratio
please can someone answer it please ​
the first one

Answer 1

Step-by-step explanation:

We have,

$\frac{ \sin( \theta) }{ \cot(\theta) + csc( \theta ) } - \frac{ \sin( \theta) }{ \cot( \theta) - \csc( \theta) }$

$= \frac{ \sin( \theta) ( \cot( \theta) - \csc( \theta) ) - \sin( \theta)( \cot( \theta) + \csc( \theta) ) }{ \cot^{2} ( \theta) - \csc^{2} ( \theta) }$

$= \frac{ \sin( \theta)( - 2 \csc( \theta ) ) }{ - 1}$

$= \frac{2 \sin( \theta ) \csc( \theta) }{1}$

$= 2$