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Old 09-12-2007, 05:32 AM   #1
Plaumpholavup

Join Date
Oct 2005
Posts
516
Senior Member
Default Need Help With Math Problem
From most basic trigonometric equation:
cos**2 + sin**2 = 1
you can deduct
-> cos**2 = 1 - sin**2
-> cos**2 = (1-sin)(1+sin)
-> 1+sin = cos**2 / (1-sin)

by definition:
sec = 1/cos
tan = sin/cos

So your left expression:

-> 1/(1/cos + sin/cos) -> 1/((1+sin)/cos) -> cos/(1+sin)
replace 1+sin with the expression above
-> cos/(cos**2 / (1-sin) )
-> (1-sin)/cos
-> 1/cos - sin/cos
-> sec - tan
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