6cos(x)+8sin(x)=5

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Solution for 6cos(x)+8sin(x)=5 equation: 


Simplifying
6cos(x) + 8sin(x) = 5

Multiply cos * x
6cosx + 8sin(x) = 5

Multiply ins * x
6cosx + 8insx = 5

Solving
6cosx + 8insx = 5

Solving for variable 'c'.

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

Add '-8insx' to each side of the equation.
6cosx + 8insx + -8insx = 5 + -8insx

Combine like terms: 8insx + -8insx = 0
6cosx + 0 = 5 + -8insx
6cosx = 5 + -8insx

Divide each side by '6osx'.
c = 0.8333333333o-1s-1x-1 + -1.333333333ino-1

Simplifying
c = 0.8333333333o-1s-1x-1 + -1.333333333ino-1

Reorder the terms:
c = -1.333333333ino-1 + 0.8333333333o-1s-1x-1

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