Question

plz help me in solving this question of trigonometry

Answer 1

$\frac{ { \cos(a) }^{3} + { \sin(a) }^{3} }{ \cos(a) + \sin(a) } + \frac{ { \cos(a) }^{3} - { \sin(a) }^{3} }{ \cos(a) - \sin(a) } \\ = \frac{( \cos(a) + \sin(a) )( { \cos(a) }^{2} + { \sin(a) }^{2} - \cos(a) \sin(a) ) }{( \cos(a) + \sin(a)) } + \frac{( \cos(a) - \sin(a))( { \cos(a) }^{2} + { \sin(a) }^{2} + \cos(a) \sin(a) )}{( \cos(a) - \sin(a))} \\ = (1 - \cos(a) \sin(a)) + (1 + \cos(a) \sin(a)) \\ = 2$

Answer 2

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