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

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

Question 439286: Prove that the given statement is an identity.
1)(tan x - cot x)/ (tan x+cot x) = 2sin^2 x - 1
Answer by MathLover1(20850) (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
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