cos(x-45)=-2sin(x)

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Solution for cos(x-45)=-2sin(x) equation:


Simplifying
cos(x + -45) = -2sin(x)

Reorder the terms:
cos(-45 + x) = -2sin(x)
(-45 * cos + x * cos) = -2sin(x)
(-45cos + cosx) = -2sin(x)

Multiply ins * x
-45cos + cosx = -2insx

Solving
-45cos + cosx = -2insx

Solving for variable 'c'.

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

Combine like terms: -2insx + 2insx = 0
-45cos + cosx + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-45co + cox + 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 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 '(-45co + cox + 2inx)' equal to zero and attempt to solve: Simplifying -45co + cox + 2inx = 0 Solving -45co + cox + 2inx = 0 Move all terms containing c to the left, all other terms to the right. Add '-2inx' to each side of the equation. -45co + cox + 2inx + -2inx = 0 + -2inx Combine like terms: 2inx + -2inx = 0 -45co + cox + 0 = 0 + -2inx -45co + cox = 0 + -2inx Remove the zero: -45co + cox = -2inx 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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