Cos(3x+30)=sin(7x-40)

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Solution for Cos(3x+30)=sin(7x-40) equation: 


Simplifying
Cos(3x + 30) = sin(7x + -40)

Reorder the terms:
osC(30 + 3x) = sin(7x + -40)
(30 * osC + 3x * osC) = sin(7x + -40)
(30osC + 3osxC) = sin(7x + -40)

Reorder the terms:
30osC + 3osxC = ins(-40 + 7x)
30osC + 3osxC = (-40 * ins + 7x * ins)
30osC + 3osxC = (-40ins + 7insx)

Solving
30osC + 3osxC = -40ins + 7insx

Solving for variable 'o'.

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

Reorder the terms:
40ins + -7insx + 30osC + 3osxC = -40ins + 7insx + 40ins + -7insx

Reorder the terms:
40ins + -7insx + 30osC + 3osxC = -40ins + 40ins + 7insx + -7insx

Combine like terms: -40ins + 40ins = 0
40ins + -7insx + 30osC + 3osxC = 0 + 7insx + -7insx
40ins + -7insx + 30osC + 3osxC = 7insx + -7insx

Combine like terms: 7insx + -7insx = 0
40ins + -7insx + 30osC + 3osxC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(40in + -7inx + 30oC + 3oxC) = 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 '(40in + -7inx + 30oC + 3oxC)' equal to zero and attempt to solve:

Simplifying
40in + -7inx + 30oC + 3oxC = 0

Solving
40in + -7inx + 30oC + 3oxC = 0

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

Add '-40in' to each side of the equation.
40in + -7inx + 30oC + -40in + 3oxC = 0 + -40in

Reorder the terms:
40in + -40in + -7inx + 30oC + 3oxC = 0 + -40in

Combine like terms: 40in + -40in = 0
0 + -7inx + 30oC + 3oxC = 0 + -40in
-7inx + 30oC + 3oxC = 0 + -40in
Remove the zero:
-7inx + 30oC + 3oxC = -40in

Add '7inx' to each side of the equation.
-7inx + 30oC + 7inx + 3oxC = -40in + 7inx

Reorder the terms:
-7inx + 7inx + 30oC + 3oxC = -40in + 7inx

Combine like terms: -7inx + 7inx = 0
0 + 30oC + 3oxC = -40in + 7inx
30oC + 3oxC = -40in + 7inx

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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