SOLUTION: Prove each identity(Show all Work) sec(Θ)+tan(Θ) ___________ (sec(Θ)-tan(Θ))=1 1

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Question 421991: Prove each identity(Show all Work)
sec(Θ)+tan(Θ)
____________ (sec(Θ)-tan(Θ))=1
1
Answer by shree840(260) About Me  (Show Source):
You can put this solution on YOUR website!
secA+TanA divided by secA-TanA I believe this is your question.
I am using A instead of theta as it is easier to type.
secA =1/cosA TanA=SinA/CosA
1/cosA +sinA/cosA= (1+sinA)/CosA
and 1/cosA-SinA/CosA= (1-SinA)/cosA
If you divide CosA cancels out and we have (1+sinA)/(1-SinA) is the answer.