sin(x-60)=cosx

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Solution for sin(x-60)=cosx equation:


Simplifying
sin(x + -60) = cosx

Reorder the terms:
ins(-60 + x) = cosx
(-60 * ins + x * ins) = cosx
(-60ins + insx) = cosx

Solving
-60ins + insx = cosx

Solving for variable 'i'.

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

Reorder the terms:
-1cosx + -60ins + insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + -60ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1cox + -60in + inx) = 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 '(-1cox + -60in + inx)' equal to zero and attempt to solve: Simplifying -1cox + -60in + inx = 0 Solving -1cox + -60in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add 'cox' to each side of the equation. -1cox + -60in + cox + inx = 0 + cox Reorder the terms: -1cox + cox + -60in + inx = 0 + cox Combine like terms: -1cox + cox = 0 0 + -60in + inx = 0 + cox -60in + inx = 0 + cox Remove the zero: -60in + inx = cox 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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