Cos(2x+10)=sin(3x-30)

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Solution for Cos(2x+10)=sin(3x-30) equation: 


Simplifying
Cos(2x + 10) = sin(3x + -30)

Reorder the terms:
osC(10 + 2x) = sin(3x + -30)
(10 * osC + 2x * osC) = sin(3x + -30)
(10osC + 2osxC) = sin(3x + -30)

Reorder the terms:
10osC + 2osxC = ins(-30 + 3x)
10osC + 2osxC = (-30 * ins + 3x * ins)
10osC + 2osxC = (-30ins + 3insx)

Solving
10osC + 2osxC = -30ins + 3insx

Solving for variable 'o'.

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

Reorder the terms:
30ins + -3insx + 10osC + 2osxC = -30ins + 3insx + 30ins + -3insx

Reorder the terms:
30ins + -3insx + 10osC + 2osxC = -30ins + 30ins + 3insx + -3insx

Combine like terms: -30ins + 30ins = 0
30ins + -3insx + 10osC + 2osxC = 0 + 3insx + -3insx
30ins + -3insx + 10osC + 2osxC = 3insx + -3insx

Combine like terms: 3insx + -3insx = 0
30ins + -3insx + 10osC + 2osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(30in + -3inx + 10oC + 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 '(30in + -3inx + 10oC + 2oxC)' equal to zero and attempt to solve:

Simplifying
30in + -3inx + 10oC + 2oxC = 0

Solving
30in + -3inx + 10oC + 2oxC = 0

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

Add '-30in' to each side of the equation.
30in + -3inx + 10oC + -30in + 2oxC = 0 + -30in

Reorder the terms:
30in + -30in + -3inx + 10oC + 2oxC = 0 + -30in

Combine like terms: 30in + -30in = 0
0 + -3inx + 10oC + 2oxC = 0 + -30in
-3inx + 10oC + 2oxC = 0 + -30in
Remove the zero:
-3inx + 10oC + 2oxC = -30in

Add '3inx' to each side of the equation.
-3inx + 10oC + 3inx + 2oxC = -30in + 3inx

Reorder the terms:
-3inx + 3inx + 10oC + 2oxC = -30in + 3inx

Combine like terms: -3inx + 3inx = 0
0 + 10oC + 2oxC = -30in + 3inx
10oC + 2oxC = -30in + 3inx

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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