Cos(2x+15)=sin(2x-25)

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Solution for Cos(2x+15)=sin(2x-25) equation:


Simplifying
Cos(2x + 15) = sin(2x + -25)

Reorder the terms:
osC(15 + 2x) = sin(2x + -25)
(15 * osC + 2x * osC) = sin(2x + -25)
(15osC + 2osxC) = sin(2x + -25)

Reorder the terms:
15osC + 2osxC = ins(-25 + 2x)
15osC + 2osxC = (-25 * ins + 2x * ins)
15osC + 2osxC = (-25ins + 2insx)

Solving
15osC + 2osxC = -25ins + 2insx

Solving for variable 'o'.

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

Reorder the terms:
25ins + -2insx + 15osC + 2osxC = -25ins + 2insx + 25ins + -2insx

Reorder the terms:
25ins + -2insx + 15osC + 2osxC = -25ins + 25ins + 2insx + -2insx

Combine like terms: -25ins + 25ins = 0
25ins + -2insx + 15osC + 2osxC = 0 + 2insx + -2insx
25ins + -2insx + 15osC + 2osxC = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
25ins + -2insx + 15osC + 2osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(25in + -2inx + 15oC + 2oxC) = 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 '(25in + -2inx + 15oC + 2oxC)' equal to zero and attempt to solve: Simplifying 25in + -2inx + 15oC + 2oxC = 0 Solving 25in + -2inx + 15oC + 2oxC = 0 Move all terms containing o to the left, all other terms to the right. Add '-25in' to each side of the equation. 25in + -2inx + 15oC + -25in + 2oxC = 0 + -25in Reorder the terms: 25in + -25in + -2inx + 15oC + 2oxC = 0 + -25in Combine like terms: 25in + -25in = 0 0 + -2inx + 15oC + 2oxC = 0 + -25in -2inx + 15oC + 2oxC = 0 + -25in Remove the zero: -2inx + 15oC + 2oxC = -25in Add '2inx' to each side of the equation. -2inx + 15oC + 2inx + 2oxC = -25in + 2inx Reorder the terms: -2inx + 2inx + 15oC + 2oxC = -25in + 2inx Combine like terms: -2inx + 2inx = 0 0 + 15oC + 2oxC = -25in + 2inx 15oC + 2oxC = -25in + 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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