Question

sin a /1-cos a = cosec a + cot a​

Answer 1

Answer:

sin a/1-cos a

=sin a(1+cos a) /(1-cos a) (1+cos a)

=sin a(1+cos a) /1-cos² a

=sin a(1+cos a) /sin²a

=1+cos a/sin a

=1/sin a+cos a/sin a

cosec a+cot a

Answer 2

$\frac{sina}{1 - cosa} \\ \\ = \frac{sina(1 + cosa)}{1 - {cos}^{2}a } \\ \\ = \frac{sina(1 + cosa)}{ {sin}^{2}a } \\ \\ = \frac{1 + cosa}{sina} \\ \\ = coseca + cota$