SOLUTION: sec(x)=tan(x)csc(x)

Question 739523: sec(x)=tan(x)csc(x)
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
sec(x)=tan(x)csc(x)

You will need to know 

This quotient identity:

#1. 

and these reciprocal identities 

#2. 

#3. 

We will work ONLY with the right side:

sec(x) = tan(x)csc(x)

Use identity #1 to substitute  for tan(x).
Use identity #2 to substitute  for csc(x).

sec(x) = 

Cancel the sin(x)'s

sec(x) = 

That is equivalent to:

sec(x) = 

Now use identity #3 to substitute sec(x) for 

sec(x) = sec(x)

Edwin

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