# SOLUTION: Prove that the given statement is an identity. 1)(tan x - cot x)/ (tan x+cot x) = 2sin^2 x - 1

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Prove that the given statement is an identity. 1)(tan x - cot x)/ (tan x+cot x) = 2sin^2 x - 1      Log On

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Trigonometry-basics Question 439286: Prove that the given statement is an identity. 1)(tan x - cot x)/ (tan x+cot x) = 2sin^2 x - 1Answer by MathLover1(6622)   (Show Source): You can put this solution on YOUR website!=2(sin^2)x use identities: prove that left side is equal to right side: =2sin^2x -1 = 2sin^2 x - 1 = 2sin^2 x - 1 = 2sin^2 x - 1 = 2sin^2 x - 1...notice that both nominator and denominator have sin and coc squared = 2sin^2 x - 1 replace cos^2x with = 2sin^2 x - 1 = 2sin^2 x - 1 = 2sin^2 x - 1