Sin(4x)-cos(5x)=0

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Solution for Sin(4x)-cos(5x)=0 equation:


Simplifying
Sin(4x) + -1cos(5x) = 0

Remove parenthesis around (4x)
inS * 4x + -1cos(5x) = 0

Reorder the terms for easier multiplication:
4inS * x + -1cos(5x) = 0

Multiply inS * x
4inxS + -1cos(5x) = 0

Remove parenthesis around (5x)
4inxS + -1cos * 5x = 0

Reorder the terms for easier multiplication:
4inxS + -1 * 5cos * x = 0

Multiply -1 * 5
4inxS + -5cos * x = 0

Multiply cos * x
4inxS + -5cosx = 0

Reorder the terms:
-5cosx + 4inxS = 0

Solving
-5cosx + 4inxS = 0

Solving for variable 'c'.

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

Add '-4inxS' to each side of the equation.
-5cosx + 4inxS + -4inxS = 0 + -4inxS

Combine like terms: 4inxS + -4inxS = 0
-5cosx + 0 = 0 + -4inxS
-5cosx = 0 + -4inxS
Remove the zero:
-5cosx = -4inxS

Divide each side by '-5osx'.
c = 0.8ino-1s-1S

Simplifying
c = 0.8ino-1s-1S

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