prove that :
[tex] \frac{ \cos \alpha }{1 – \sin \alpha } = \frac{1 + \sin \alpha }{ \cos\alpha } [/tex]
​

1 thought on “prove that :<br />[tex] \frac{ \cos \alpha }{1 – \sin \alpha } = \frac{1 + \sin \alpha }{ \cos\alpha } [/tex]<br />​”

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

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