derivative of 1+sinx/cosx
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Step-by-step explanation:
y = 1+Sinx/Cosx
dy/dx = Cosx(Cosx)-(1+Sinx)(-Sinx)/Cos²x
= Cos²x+Sinx+Sin²x / Cos²x
= 1+Sinx/Cos²x
= (1+Sinx)(1-Sinx)/Cos²x(1-Sinx)
= Cos²x / Cos²x(1-Sinx)
= 1 / 1-Sinx
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