# SOLUTION: I have to solve the following using trigonometric identities: 1-cos^2(x)*1-tan^2(x)=sin^2(x)-2sin^4(x)/ 1-sin^2(x) Using the trigonometric identities, I have to prove that it i

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: I have to solve the following using trigonometric identities: 1-cos^2(x)*1-tan^2(x)=sin^2(x)-2sin^4(x)/ 1-sin^2(x) Using the trigonometric identities, I have to prove that it i      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 611729: I have to solve the following using trigonometric identities: 1-cos^2(x)*1-tan^2(x)=sin^2(x)-2sin^4(x)/ 1-sin^2(x) Using the trigonometric identities, I have to prove that it is one, preferably using the left-hand side. I would appreciate any help that is given. Thanks! Answer by lwsshak3(6522)   (Show Source): You can put this solution on YOUR website!1-cos^2(x)*1-tan^2(x)=sin^2(x)-2sin^4(x)/ 1-sin^2(x) ** Starting with left side: (1-cos^2x)(1-tan^2x) =sin^2x(1-sin^2x/cos^2x) =sin^2x[(cos^2x-sin^2x)/cos^2x] =[sin^2x(1-sin^2x-sin^2x)]/(1-sin^2x) =[sin^2x(1-2sin^2x)]/(1-sin^2x) =sin^2x-2sin^4x)/(1-sin^2x) verified: left side=right side