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27 January, 01:40

Solve for x. cos (2x - 4) = sin (6x)

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Answers (1)
  1. 27 January, 04:55
    0
    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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