Cos(2x+10)=sin(x+20)

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Solution for Cos(2x+10)=sin(x+20) equation: 


Simplifying
Cos(2x + 10) = sin(x + 20)

Reorder the terms:
osC(10 + 2x) = sin(x + 20)
(10 * osC + 2x * osC) = sin(x + 20)
(10osC + 2osxC) = sin(x + 20)

Reorder the terms:
10osC + 2osxC = ins(20 + x)
10osC + 2osxC = (20 * ins + x * ins)
10osC + 2osxC = (20ins + insx)

Solving
10osC + 2osxC = 20ins + insx

Solving for variable 'o'.

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

Reorder the terms:
-20ins + -1insx + 10osC + 2osxC = 20ins + insx + -20ins + -1insx

Reorder the terms:
-20ins + -1insx + 10osC + 2osxC = 20ins + -20ins + insx + -1insx

Combine like terms: 20ins + -20ins = 0
-20ins + -1insx + 10osC + 2osxC = 0 + insx + -1insx
-20ins + -1insx + 10osC + 2osxC = insx + -1insx

Combine like terms: insx + -1insx = 0
-20ins + -1insx + 10osC + 2osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-20in + -1inx + 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 '(-20in + -1inx + 10oC + 2oxC)' equal to zero and attempt to solve:

Simplifying
-20in + -1inx + 10oC + 2oxC = 0

Solving
-20in + -1inx + 10oC + 2oxC = 0

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

Add '20in' to each side of the equation.
-20in + -1inx + 10oC + 20in + 2oxC = 0 + 20in

Reorder the terms:
-20in + 20in + -1inx + 10oC + 2oxC = 0 + 20in

Combine like terms: -20in + 20in = 0
0 + -1inx + 10oC + 2oxC = 0 + 20in
-1inx + 10oC + 2oxC = 0 + 20in
Remove the zero:
-1inx + 10oC + 2oxC = 20in

Add 'inx' to each side of the equation.
-1inx + 10oC + inx + 2oxC = 20in + inx

Reorder the terms:
-1inx + inx + 10oC + 2oxC = 20in + inx

Combine like terms: -1inx + inx = 0
0 + 10oC + 2oxC = 20in + inx
10oC + 2oxC = 20in + inx

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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