Question

CosA/1+SinA +1+SinA/CosA =2SecA

Answer 1

Answer:

$\mathtt{hello \: friend \: here \: is \: your \: answer : } \\ \sf{ \frac{cos \theta}{1 + sin \theta} + \frac{1 + sin \theta}{cos \theta} = 2sec \theta } \\ \sf{proof :\frac{cos \theta}{1 + sin \theta} + \frac{1 + sin \theta}{cos \theta }} \\ \sf{proof : \frac{ {cos}^{2} \theta + (1 + sin \theta) {}^{2} }{1 + sin \theta(cos \theta)}} \\ \sf{proof : \frac{ {cos}^{2} \theta + 1 + {sin}^{2} \theta + 2sin \theta }{1 + sin \theta(cos \theta)}} \\ \sf{proof : \frac{1 + 1 + 2sin \theta}{1 + sin \theta(cos \theta)} } \\ \sf {proof : \frac{2 + 2sin \theta}{1 + sin \theta(cos \theta)}} \\ \sf{proof : \frac{2(1 + sin \theta)}{1 + sin \theta(cos \theta)}} \\ \sf{proof : \frac{2}{cos \theta} } \\ \sf{proof : 2sec \theta}}}$

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