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Prove the following identities :
[tex] \tan(2x) cosec \: (x) = \frac{1}{ \cos(x) + \sin(x) } + \frac{1}{ \cos(x) - \sin(x) } [/tex]
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Respuesta :

inspirationalgdandyt

Answer:

You can follow the following method, there are other ways to do this too.

Step-by-step explanation:

Taking RHS,

(cosx-sinx+cosx+sinx)/(cos^2x-sin^2) [Taking LCM of den.]

2cosx/cos2x

Taking LHS,

sin2x/cos2x*1/sinx

2sinxcosx/cos2x*1/sinx

2cosx/cos2x