Cos(x+15)=sin(4x+35)

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Solution for Cos(x+15)=sin(4x+35) equation:


Simplifying
Cos(x + 15) = sin(4x + 35)

Reorder the terms:
osC(15 + x) = sin(4x + 35)
(15 * osC + x * osC) = sin(4x + 35)
(15osC + osxC) = sin(4x + 35)

Reorder the terms:
15osC + osxC = ins(35 + 4x)
15osC + osxC = (35 * ins + 4x * ins)
15osC + osxC = (35ins + 4insx)

Solving
15osC + osxC = 35ins + 4insx

Solving for variable 'o'.

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

Reorder the terms:
-35ins + -4insx + 15osC + osxC = 35ins + 4insx + -35ins + -4insx

Reorder the terms:
-35ins + -4insx + 15osC + osxC = 35ins + -35ins + 4insx + -4insx

Combine like terms: 35ins + -35ins = 0
-35ins + -4insx + 15osC + osxC = 0 + 4insx + -4insx
-35ins + -4insx + 15osC + osxC = 4insx + -4insx

Combine like terms: 4insx + -4insx = 0
-35ins + -4insx + 15osC + osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-35in + -4inx + 15oC + oxC) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing o 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 '(-35in + -4inx + 15oC + oxC)' equal to zero and attempt to solve: Simplifying -35in + -4inx + 15oC + oxC = 0 Solving -35in + -4inx + 15oC + oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '35in' to each side of the equation. -35in + -4inx + 15oC + 35in + oxC = 0 + 35in Reorder the terms: -35in + 35in + -4inx + 15oC + oxC = 0 + 35in Combine like terms: -35in + 35in = 0 0 + -4inx + 15oC + oxC = 0 + 35in -4inx + 15oC + oxC = 0 + 35in Remove the zero: -4inx + 15oC + oxC = 35in Add '4inx' to each side of the equation. -4inx + 15oC + 4inx + oxC = 35in + 4inx Reorder the terms: -4inx + 4inx + 15oC + oxC = 35in + 4inx Combine like terms: -4inx + 4inx = 0 0 + 15oC + oxC = 35in + 4inx 15oC + oxC = 35in + 4inx 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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