sin(2x-60)=-cos(3x)

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Solution for sin(2x-60)=-cos(3x) equation:


Simplifying
sin(2x + -60) = -1cos(3x)

Reorder the terms:
ins(-60 + 2x) = -1cos(3x)
(-60 * ins + 2x * ins) = -1cos(3x)
(-60ins + 2insx) = -1cos(3x)

Remove parenthesis around (3x)
-60ins + 2insx = -1cos * 3x

Reorder the terms for easier multiplication:
-60ins + 2insx = -1 * 3cos * x

Multiply -1 * 3
-60ins + 2insx = -3cos * x

Multiply cos * x
-60ins + 2insx = -3cosx

Solving
-60ins + 2insx = -3cosx

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Reorder the terms:
3cosx + -60ins + 2insx = -3cosx + 3cosx

Combine like terms: -3cosx + 3cosx = 0
3cosx + -60ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(3cox + -60in + 2inx) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i 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 '(3cox + -60in + 2inx)' equal to zero and attempt to solve: Simplifying 3cox + -60in + 2inx = 0 Solving 3cox + -60in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-3cox' to each side of the equation. 3cox + -60in + -3cox + 2inx = 0 + -3cox Reorder the terms: 3cox + -3cox + -60in + 2inx = 0 + -3cox Combine like terms: 3cox + -3cox = 0 0 + -60in + 2inx = 0 + -3cox -60in + 2inx = 0 + -3cox Remove the zero: -60in + 2inx = -3cox 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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