cos(5x+15)=sin(4x+3)

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Solution for cos(5x+15)=sin(4x+3) equation: 


Simplifying
cos(5x + 15) = sin(4x + 3)

Reorder the terms:
cos(15 + 5x) = sin(4x + 3)
(15 * cos + 5x * cos) = sin(4x + 3)
(15cos + 5cosx) = sin(4x + 3)

Reorder the terms:
15cos + 5cosx = ins(3 + 4x)
15cos + 5cosx = (3 * ins + 4x * ins)
15cos + 5cosx = (3ins + 4insx)

Solving
15cos + 5cosx = 3ins + 4insx

Solving for variable 'c'.

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

Reorder the terms:
15cos + 5cosx + -3ins + -4insx = 3ins + -3ins + 4insx + -4insx

Combine like terms: 3ins + -3ins = 0
15cos + 5cosx + -3ins + -4insx = 0 + 4insx + -4insx
15cos + 5cosx + -3ins + -4insx = 4insx + -4insx

Combine like terms: 4insx + -4insx = 0
15cos + 5cosx + -3ins + -4insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(15co + 5cox + -3in + -4inx) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(15co + 5cox + -3in + -4inx)' equal to zero and attempt to solve:

Simplifying
15co + 5cox + -3in + -4inx = 0

Solving
15co + 5cox + -3in + -4inx = 0

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

Add '3in' to each side of the equation.
15co + 5cox + -3in + 3in + -4inx = 0 + 3in

Combine like terms: -3in + 3in = 0
15co + 5cox + 0 + -4inx = 0 + 3in
15co + 5cox + -4inx = 0 + 3in
Remove the zero:
15co + 5cox + -4inx = 3in

Add '4inx' to each side of the equation.
15co + 5cox + -4inx + 4inx = 3in + 4inx

Combine like terms: -4inx + 4inx = 0
15co + 5cox + 0 = 3in + 4inx
15co + 5cox = 3in + 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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