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1 vote
Verify the identity
cosx/1+sinx + 1+sin/cosx = 2sec x

User Zahid Rouf
by
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1 Answer

7 votes
ill assume its the first one.

cos x / ( 1 + sin x) + (1 + sinx ) / cos x

= cos^2 x + (1 + sin x)^2 / cos x (1 + sin x)

= cos^2 x + sin^2x + 1 + 2sinx / cos x( 1 + sin x)

= 1 + 1 + 2sinx / cos x( 1 + sin x) (because sin^2x + cos^2 x = 1)

= 2 (1 + sin x ) / cos x(1 + sin x) = 2 / cos x = 2 sec x
User Aneela
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