cos(2x-10)=sin(50)

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Solution for cos(2x-10)=sin(50) equation:


Simplifying
cos(2x + -10) = sin(50)

Reorder the terms:
cos(-10 + 2x) = sin(50)
(-10 * cos + 2x * cos) = sin(50)
(-10cos + 2cosx) = sin(50)

Reorder the terms for easier multiplication:
-10cos + 2cosx = 50ins

Solving
-10cos + 2cosx = 50ins

Solving for variable 'c'.

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

Combine like terms: 50ins + -50ins = 0
-10cos + 2cosx + -50ins = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(-5co + cox + -25in) = 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 '(-5co + cox + -25in)' equal to zero and attempt to solve: Simplifying -5co + cox + -25in = 0 Solving -5co + cox + -25in = 0 Move all terms containing c to the left, all other terms to the right. Add '25in' to each side of the equation. -5co + cox + -25in + 25in = 0 + 25in Combine like terms: -25in + 25in = 0 -5co + cox + 0 = 0 + 25in -5co + cox = 0 + 25in Remove the zero: -5co + cox = 25in 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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