Question

if x = sin a / (1+cos a) find the value of sina / ( 1-cosa )​

Answer 1

Step-by-step explanation:

$\frac{ \sin(a) }{1 - \cos(a) } \times \frac{ 1 + cos \:( a )}{1 + \cos(a) } \\\\ = \frac{ \sin(a).(1 + \cos(a)) }{1 - \cos {}^{2} (a) } \\\\ = \frac{ \cancel{ \sin(a) }(1 + \cos(a)) }{ \sin \cancel{ {}^{2} }(a) } \\ = \frac{1 + \cos(a) }{ \sin(a) } \\ \\ = \frac{1}{x}$