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senxtanx = secx - cosx tanx = senx/cosx reemplazamos
senx . senx/cosx = secx- cosx
sen²x/cosx = secx - cosx Por identidad fundamental sen²x = 1 - cos²x
(1 - cos²x)/cosx = secx - cosx
1/cosx - cos²x/cosx = secx - cosx 1/cosx = secx reemplazas
secx - cosx = secx - cosx