9sinx+6cosx-3sinx+cosx=8

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Solution for 9sinx+6cosx-3sinx+cosx=8 equation:


Simplifying
9sinx + 6cosx + -3sinx + cosx = 8

Reorder the terms:
6cosx + cosx + 9insx + -3insx = 8

Combine like terms: 6cosx + cosx = 7cosx
7cosx + 9insx + -3insx = 8

Combine like terms: 9insx + -3insx = 6insx
7cosx + 6insx = 8

Solving
7cosx + 6insx = 8

Solving for variable 'c'.

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

Add '-6insx' to each side of the equation.
7cosx + 6insx + -6insx = 8 + -6insx

Combine like terms: 6insx + -6insx = 0
7cosx + 0 = 8 + -6insx
7cosx = 8 + -6insx

Divide each side by '7osx'.
c = 1.142857143o-1s-1x-1 + -0.8571428571ino-1

Simplifying
c = 1.142857143o-1s-1x-1 + -0.8571428571ino-1

Reorder the terms:
c = -0.8571428571ino-1 + 1.142857143o-1s-1x-1

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