sin(5x+1)=cos(4+1)

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Solution for sin(5x+1)=cos(4+1) equation: 


Simplifying
sin(5x + 1) = cos(4 + 1)

Reorder the terms:
ins(1 + 5x) = cos(4 + 1)
(1 * ins + 5x * ins) = cos(4 + 1)
(1ins + 5insx) = cos(4 + 1)

Combine like terms: 4 + 1 = 5
1ins + 5insx = cos(5)

Reorder the terms for easier multiplication:
1ins + 5insx = 5cos

Solving
1ins + 5insx = 5cos

Solving for variable 'i'.

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

Reorder the terms:
-5cos + 1ins + 5insx = 5cos + -5cos

Combine like terms: 5cos + -5cos = 0
-5cos + 1ins + 5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-5co + in + 5inx) = 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 + in + 5inx)' equal to zero and attempt to solve:

Simplifying
-5co + in + 5inx = 0

Solving
-5co + in + 5inx = 0

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

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

Reorder the terms:
-5co + 5co + in + 5inx = 0 + 5co

Combine like terms: -5co + 5co = 0
0 + in + 5inx = 0 + 5co
in + 5inx = 0 + 5co
Remove the zero:
in + 5inx = 5co

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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