5cosx+5sinx=0

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Solution for 5cosx+5sinx=0 equation: 


Simplifying
5cosx + 5sinx = 0

Solving
5cosx + 5insx = 0

Solving for variable 'c'.

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

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

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

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

Simplifying
c = -1ino-1

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