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

Algebra ->  Trigonometry-basics -> 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      Log On


   



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) About Me  (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
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tan(x)+sec(x)= (cos(x)/(1-sin(x)))
(sin/cos) + 1/cos = cos/(1-sin)
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(1+sin)/cos = cos/(1-sin)
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Cross multiply to get :
cos^2 = 1-sin^2
cos^2(x) + sin^2(x) = 1
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Ans :: true
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Cheers,
Stan H.
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