Question

costheta upon 1minus sintheta plus costheta upon 1 plus sin theta​

Answer 1

Answer:

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Answer 2

$\frac{cos \: theta}{1 - sin \: theta} + \frac{cos \: theta}{1 + sin \: theta}$

$= cos \: theta( \frac{1 + sin \: theta + 1 - sin \: theta}{1 - {sin}^{2} theta} )$

$= cos \: theta( \frac{2}{ {cos}^{2}theta } )$

$= \frac{2}{cos \: theta}$

$= 2 \: sec \: theta$

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