sin(3x+13)-cos(4x)=0

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Solution for sin(3x+13)-cos(4x)=0 equation:


Simplifying
sin(3x + 13) + -1cos(4x) = 0

Reorder the terms:
ins(13 + 3x) + -1cos(4x) = 0
(13 * ins + 3x * ins) + -1cos(4x) = 0
(13ins + 3insx) + -1cos(4x) = 0

Remove parenthesis around (4x)
13ins + 3insx + -1cos * 4x = 0

Reorder the terms for easier multiplication:
13ins + 3insx + -1 * 4cos * x = 0

Multiply -1 * 4
13ins + 3insx + -4cos * x = 0

Multiply cos * x
13ins + 3insx + -4cosx = 0

Reorder the terms:
-4cosx + 13ins + 3insx = 0

Solving
-4cosx + 13ins + 3insx = 0

Solving for variable 'c'.

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

Add '-13ins' to each side of the equation.
-4cosx + 13ins + -13ins + 3insx = 0 + -13ins

Combine like terms: 13ins + -13ins = 0
-4cosx + 0 + 3insx = 0 + -13ins
-4cosx + 3insx = 0 + -13ins
Remove the zero:
-4cosx + 3insx = -13ins

Add '-3insx' to each side of the equation.
-4cosx + 3insx + -3insx = -13ins + -3insx

Combine like terms: 3insx + -3insx = 0
-4cosx + 0 = -13ins + -3insx
-4cosx = -13ins + -3insx

Divide each side by '-4osx'.
c = 3.25ino-1x-1 + 0.75ino-1

Simplifying
c = 3.25ino-1x-1 + 0.75ino-1

Reorder the terms:
c = 0.75ino-1 + 3.25ino-1x-1

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