4sinX+3cosX=2sinX-cosX

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Solution for 4sinX+3cosX=2sinX-cosX equation: 


Simplifying
4sinX + 3cosX = 2sinX + -1cosX

Reorder the terms:
3cosX + 4insX = 2sinX + -1cosX

Reorder the terms:
3cosX + 4insX = -1cosX + 2insX

Solving
3cosX + 4insX = -1cosX + 2insX

Solving for variable 'c'.

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

Add 'cosX' to each side of the equation.
3cosX + cosX + 4insX = -1cosX + cosX + 2insX

Combine like terms: 3cosX + cosX = 4cosX
4cosX + 4insX = -1cosX + cosX + 2insX

Combine like terms: -1cosX + cosX = 0
4cosX + 4insX = 0 + 2insX
4cosX + 4insX = 2insX

Add '-4insX' to each side of the equation.
4cosX + 4insX + -4insX = 2insX + -4insX

Combine like terms: 4insX + -4insX = 0
4cosX + 0 = 2insX + -4insX
4cosX = 2insX + -4insX

Combine like terms: 2insX + -4insX = -2insX
4cosX = -2insX

Divide each side by '4osX'.
c = -0.5ino-1

Simplifying
c = -0.5ino-1

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