This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Identify the given trigonometric expression. We need to simplify: ((1- 2x)/( 2x)) (( 2x)/(1+ 2x)) Step 2: Apply double angle identities. Recall the following identities: • 1 - 2x = 2^2 x • 1 + 2x = 2^2 x • 2x = 2 x x Step 3: Substitute the identities into the first part of the expression. For the first fraction (1- 2x)/( 2x): (1- 2x)/( 2x) = (2^2 x)/(2 x x) Cancel out 2 x: ( x)/( x) = x Step 4: Substitute the identities into the second part of the expression. For the second fraction ( 2x)/(1+ 2x): ( 2x)/(1+ 2x) = (2 x x)/(2^2 x) Cancel out 2 x: ( x)/( x) = x Step 5: Multiply the simplified parts. Now multiply the simplified first and second parts: ( x)( x) = ^2 x The final answer is ^2 x. What's next?