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Mathematics
Linus
27 January, 01:40
Solve for x. cos (2x - 4) = sin (6x)
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Nathen
27 January, 04:55
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Simplifying
cos (2x + - 4) = sin (6x)
Reorder the terms:
cos (-4 + 2x) = sin (6x)
(-4 * cos + 2x * cos) = sin (6x)
(-4cos + 2cosx) = sin (6x)
Remove parenthesis around (6x)
-4cos + 2cosx = ins * 6x
Reorder the terms for easier multiplication:
-4cos + 2cosx = 6ins * x
Multiply ins * x
-4cos + 2cosx = 6insx
Solving
-4cos + 2cosx = 6insx
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Combine like terms: 6insx + - 6insx = 0
-4cos + 2cosx + - 6insx = 0
Factor out the Greatest Common Factor (GCF), '2s'.
2s (-2co + cox + - 3inx) = 0
Ignore the factor 2.
Subproblem 1
Set the factor 's' equal to zero and attempt to solve:
Simplifying
s = 0
Solving
s = 0
Move all terms containing c to the left, all other terms to the right.
Add '-1s' to each side of the equation.
s + - 1s = 0 + - 1s
Remove the zero:
0 = - 1s
Simplifying
0 = - 1s
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor ' (-2co + cox + - 3inx) ' equal to zero and attempt to solve:
Simplifying
-2co + cox + - 3inx = 0
Solving
-2co + cox + - 3inx = 0
Move all terms containing c to the left, all other terms to the right.
Add '3inx' to each side of the equation.
-2co + cox + - 3inx + 3inx = 0 + 3inx
Combine like terms: - 3inx + 3inx = 0
-2co + cox + 0 = 0 + 3inx
-2co + cox = 0 + 3inx
Remove the zero:
-2co + cox = 3inx
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
The solution to this equation could not be determined.
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