Question

ab yaar padh liya hai to khol ke dekh lo
question laai hoon
.......
jaldi se solve kr do

......

prove that

sinA+1/cos=cos/1-sinA

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Answer 1

Answer:

lo padh b liya khol b liya or solve b kar diya h ab aapki marji h kuchh b karna

Step-by-step explanation:

LHS = (sinA-cosA+1)/(sinA+cos-1) = (1 + sinA) (1 - sinA)/cos A(1 - sinA) = 1 - sin2A/cos A(1 - sinA) = cos2A/cos A(1 - sinA) = cosA/(1 - sinA) = 1/ (1/cosA - sinA/cosA) = 1/(secA - tanA) = RHS

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Answer 2

Let's take A = x for convenience.

$\frac{1 + sin(x)}{ \cos(x) } = \frac{ \cos(x) }{1 - \sin(x) }$

Solving LHS :-

$= \frac{(1 + \sin(x) ) \times \cos(x) }{ \cos(x) \times \cos(x) } \\ = \frac{(1 + \sin(x)) \cos(x) }{1 - \sin^{2} (x) } \\ = \frac{(1 + \sin(x)) \cos(x) }{(1 + \sin(x))(1 - \sin(x)) } \\ = \frac{ \cos(x) }{(1 - \sin(x)) }$

-Q.E.D.

Hope, it'll help you.....