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07-10-2018
Mathematics

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How does sec(x)-1/tan(x) + tan(x)/sec(x)+1 = 2sin(x)/1+cos(x)

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07-10-2018

Answer in the attachment.

Used:

[tex]\sec x=\dfrac{1}{\cos x}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x[/tex]

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