sin(7X+19)=cos(4x+5)

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Solution for sin(7X+19)=cos(4x+5) equation: 


Simplifying
sin(7X + 19) = cos(4x + 5)

Reorder the terms:
ins(19 + 7X) = cos(4x + 5)
(19 * ins + 7X * ins) = cos(4x + 5)
(19ins + 7insX) = cos(4x + 5)

Reorder the terms:
19ins + 7insX = cos(5 + 4x)
19ins + 7insX = (5 * cos + 4x * cos)
19ins + 7insX = (5cos + 4cosx)

Solving
19ins + 7insX = 5cos + 4cosx

Solving for variable 'i'.

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

Reorder the terms:
-5cos + -4cosx + 19ins + 7insX = 5cos + 4cosx + -5cos + -4cosx

Reorder the terms:
-5cos + -4cosx + 19ins + 7insX = 5cos + -5cos + 4cosx + -4cosx

Combine like terms: 5cos + -5cos = 0
-5cos + -4cosx + 19ins + 7insX = 0 + 4cosx + -4cosx
-5cos + -4cosx + 19ins + 7insX = 4cosx + -4cosx

Combine like terms: 4cosx + -4cosx = 0
-5cos + -4cosx + 19ins + 7insX = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-5co + -4cox + 19in + 7inX) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(-5co + -4cox + 19in + 7inX)' equal to zero and attempt to solve:

Simplifying
-5co + -4cox + 19in + 7inX = 0

Solving
-5co + -4cox + 19in + 7inX = 0

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

Add '5co' to each side of the equation.
-5co + -4cox + 19in + 5co + 7inX = 0 + 5co

Reorder the terms:
-5co + 5co + -4cox + 19in + 7inX = 0 + 5co

Combine like terms: -5co + 5co = 0
0 + -4cox + 19in + 7inX = 0 + 5co
-4cox + 19in + 7inX = 0 + 5co
Remove the zero:
-4cox + 19in + 7inX = 5co

Add '4cox' to each side of the equation.
-4cox + 19in + 4cox + 7inX = 5co + 4cox

Reorder the terms:
-4cox + 4cox + 19in + 7inX = 5co + 4cox

Combine like terms: -4cox + 4cox = 0
0 + 19in + 7inX = 5co + 4cox
19in + 7inX = 5co + 4cox

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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