# SOLUTION: (tan(theta)-cot(theta))/(tan(theta)+cot(theta))+2cos^2(theta)=1

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: (tan(theta)-cot(theta))/(tan(theta)+cot(theta))+2cos^2(theta)=1      Log On

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

 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 522702: (tan(theta)-cot(theta))/(tan(theta)+cot(theta))+2cos^2(theta)=1Answer by Aswathy(23)   (Show Source): You can put this solution on YOUR website!Note that I have typed angle A instead of theta. LHS= (tan A-cot A)/(tan A+cot A)+2cos^2 A = [(sin A/cos A)-( cos A/sin A)] / [(sin A/cos A)+( cos A/sin A)] +2cos^2 A = [(sin^2 A-cos^2 A)/(sin A*cos A)] /[( sin^2 A+cos^2 A)]/( sin A*cos A) +2cos^2 A = (sin^2 A-cos^2 A)/1 +(2cos^2 A) [by using the identity sin^2 A+cos^2 A=1 and by canceling out the common term sin A*cos A] = sin^2 A-cos^2 A+2cos^2 A =sin^2 A+cos ^2 A =1=RHS