Question

prove that :
$\frac{ \cos \alpha }{1 - \sin \alpha } = \frac{1 + \sin \alpha }{ \cos\alpha }$
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Answer 1

Step-by-step explanation:

from LHS

cosα /1 -sinα

multipling by 1+sinα in numerator and denomenator

• ∴ cosα (1+sinα) / (1-sin²α)
• cosα (1+sinα )/cos²α
• 1+sinα/cosα RHS

LHS = RHS proved