(Cosx)/(1+sinx) - (1+sinx)/(cos) solve

Mathematics

2 answers:

Rina8888 [55]3 years ago

8 0

2/cos x

........................

vazorg [7]3 years ago

6 0

Cos^2x - (1+sinx)^2 / cosx(1+sinx)

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

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

= - sin^2x - sin^2x - 2 sinx/ cosx(1+sinx)

= -2sin^2x - 2sinx/ cosx (1+sinx)

= -2sinx(sinx+1)/cosx(1+sinx) = 2sinx/cosx = 2 tanx

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