SOLUTION: The following identity IS correct. Choose whether or not the following statements is true or false. The Pythagorean identity sin^2(x)+cos^2(x)= 1 is useful in proving the identi

Question 888594: The following identity IS correct. Choose whether or not the following statements is true or false.
The Pythagorean identity sin^2(x)+cos^2(x)= 1 is useful in proving the identity tan(x)+sec(x)= (cos(x)/(1-sin(x)))
true or false
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Pythagorean identity sin^2(x)+cos^2(x)= 1 is useful in proving the identity tan(x)+sec(x)= (cos(x)/(1-sin(x)))
true or false
---------------------------
tan(x)+sec(x)= (cos(x)/(1-sin(x)))
(sin/cos) + 1/cos = cos/(1-sin)
----
(1+sin)/cos = cos/(1-sin)
-----
Cross multiply to get :
cos^2 = 1-sin^2
cos^2(x) + sin^2(x) = 1
==============================
Ans :: true
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Cheers,
Stan H.
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