SOLUTION: Verify the following trig identities 1) sin^2x/cosx=secx-cosx 2) 1+sinx/1-sinx - 1-sinx/1+sinx = 4tanx secx 3) sin^3x+cos^3x = (cosx+sinx)(1-cosx sinx)

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the following trig identities 1) sin^2x/cosx=secx-cosx 2) 1+sinx/1-sinx - 1-sinx/1+sinx = 4tanx secx 3) sin^3x+cos^3x = (cosx+sinx)(1-cosx sinx)       Log On


   

Question 914721: Verify the following trig identities
1) sin^2x/cosx=secx-cosx
2) 1+sinx/1-sinx - 1-sinx/1+sinx = 4tanx secx
3) sin^3x+cos^3x = (cosx+sinx)(1-cosx sinx)
Answer by lwsshak3(11628) About Me  (Show Source):
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Verify the following trig identities
1) sin^2x/cosx=secx-cosx

..
2) 1+sinx/1-sinx - 1-sinx/1+sinx = 4tanx secx
%281%2Bsinx%29%2F%281-sinx%29-%281-sinx%29%2F%281%2Bsinx%29
%28%281%2Bsinx%29%5E2-%281-sinx%29%5E2%29%2F%281%2Bsinx%29%281-sinx%29%29

%281%2B2sinx%2Bsin%5E2%28x%29-1%2B2sinx-sin%5E2%28x%29%29%2F%281-sin%5E2%28x%29%29
%284sinx%2Fcos%5E2%28x%29%29=%284sinx%2Fcosx%29%281%2Fcosx%29=4tanxsecx
..
3) sin^3x+cos^3x = (cosx+sinx)(1-cosx sinx)

note: use sum of cubes formula