SOLUTION: what is value sin(x) in terms of sec(x)?

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Question 903431: what is value sin(x) in terms of sec(x)?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Express sin(x) in terms of sec(x).
Start with this identity:



replace  by :





Multiply through by sec˛(x):



Subtract 1 from both sides:



Divide both sides by sec˛(x):



Take ± square root:



Simplify:



[Which sign to take will depend on the quadrant x is in.]

Edwin
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