Question

Show that
Costheta/
1-sintheta+
l-Sintheta
/costheta=2sectheta​

Answer 1

Answer:

WHAT IS QUESTION

I CAN'T UNDERSTAND

Answer 2

Answer:

LHS

$\frac{cos \alpha }{1 - sin \alpha } + \frac{1 - sin \alpha }{cos \alpha } = \\ \frac{ {cos}^{2} \alpha + 1 + {sin}^{2} \alpha - 2sin \alpha }{(1 - sin \alpha )cos \alpha } = \\ \frac{2 - 2sin \alpha }{(1 - sin \alpha )cos \alpha } = \frac{2(1 - sin \alpha )}{(1 - sin \alpha )cos \alpha } = \\ \frac{2}{cos \alpha } = 2sec \alpha \: \: rhs. \: \: proved$