# sin(2x)cos(5x)=sin(5x)cos(2x)

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## Solution for sin(2x)cos(5x)=sin(5x)cos(2x) equation:

Simplifying
sin(2x) * cos(5x) = sin(5x) * cos(2x)
Remove parenthesis around (2x)
ins * 2x * cos(5x) = sin(5x) * cos(2x)
Remove parenthesis around (5x)
ins * 2x * cos * 5x = sin(5x) * cos(2x)
Reorder the terms for easier multiplication:
2 * 5ins * x * cos * x = sin(5x) * cos(2x)
Multiply 2 * 5
10ins * x * cos * x = sin(5x) * cos(2x)
Multiply ins * x
10insx * cos * x = sin(5x) * cos(2x)
Multiply insx * cos
10cinos2x * x = sin(5x) * cos(2x)
Multiply cinos2x * x
10cinos2x2 = sin(5x) * cos(2x)
Remove parenthesis around (5x)
10cinos2x2 = ins * 5x * cos(2x)
Remove parenthesis around (2x)
10cinos2x2 = ins * 5x * cos * 2x
Reorder the terms for easier multiplication:
10cinos2x2 = 5 * 2ins * x * cos * x
Multiply 5 * 2
10cinos2x2 = 10ins * x * cos * x
Multiply ins * x
10cinos2x2 = 10insx * cos * x
Multiply insx * cos
10cinos2x2 = 10cinos2x * x
Multiply cinos2x * x
10cinos2x2 = 10cinos2x2
Add '-10cinos2x2' to each side of the equation.
10cinos2x2 + -10cinos2x2 = 10cinos2x2 + -10cinos2x2
Combine like terms: 10cinos2x2 + -10cinos2x2 = 0
0 = 10cinos2x2 + -10cinos2x2
Combine like terms: 10cinos2x2 + -10cinos2x2 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.`