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Greeley [361]
3 years ago
9

(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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