cos(4X+1)=3*sin(2X)

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Solution for cos(4X+1)=3*sin(2X) equation: 


Simplifying
cos(4X + 1) = 3sin(2X)

Reorder the terms:
cos(1 + 4X) = 3sin(2X)
(1 * cos + 4X * cos) = 3sin(2X)
(1cos + 4cosX) = 3sin(2X)

Remove parenthesis around (2X)
1cos + 4cosX = 3ins * 2X

Reorder the terms for easier multiplication:
1cos + 4cosX = 3 * 2ins * X

Multiply 3 * 2
1cos + 4cosX = 6ins * X

Multiply ins * X
1cos + 4cosX = 6insX

Solving
1cos + 4cosX = 6insX

Solving for variable 'c'.

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

Combine like terms: 6insX + -6insX = 0
1cos + 4cosX + -6insX = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(co + 4coX + -6inX) = 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 '(co + 4coX + -6inX)' equal to zero and attempt to solve:

Simplifying
co + 4coX + -6inX = 0

Solving
co + 4coX + -6inX = 0

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

Add '6inX' to each side of the equation.
co + 4coX + -6inX + 6inX = 0 + 6inX

Combine like terms: -6inX + 6inX = 0
co + 4coX + 0 = 0 + 6inX
co + 4coX = 0 + 6inX
Remove the zero:
co + 4coX = 6inX

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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