Question

pls tell this question's answer correctly

Answer 1

Answer:

k = 2

Step-by-step explanation:

$\frac{ { \sin( \alpha ) }^{3} + { \cos( \alpha ) }^{3} }{ \sin( \alpha ) + \cos( \alpha ) } + \frac{ { \sin( \alpha ) }^{3} - { \cos( \alpha ) }^{3} }{ \sin( \alpha ) - \cos( \alpha ) } = k \\ \\ { \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} - \sin( \alpha ) \cos( \alpha ) + { \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} + \sin( \alpha ) \cos( \alpha ) = k \\ \\ 2( { \sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} ) = k \\ \\ therefore \: \: \: k = 2.$