4=2sinx+5cosx

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Solution for 4=2sinx+5cosx equation:


Simplifying
4 = 2sinx + 5cosx

Reorder the terms:
4 = 5cosx + 2insx

Solving
4 = 5cosx + 2insx

Solving for variable 'c'.

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

Add '-5cosx' to each side of the equation.
4 + -5cosx = 5cosx + -5cosx + 2insx

Combine like terms: 5cosx + -5cosx = 0
4 + -5cosx = 0 + 2insx
4 + -5cosx = 2insx

Add '-4' to each side of the equation.
4 + -4 + -5cosx = -4 + 2insx

Combine like terms: 4 + -4 = 0
0 + -5cosx = -4 + 2insx
-5cosx = -4 + 2insx

Divide each side by '-5osx'.
c = 0.8o-1s-1x-1 + -0.4ino-1

Simplifying
c = 0.8o-1s-1x-1 + -0.4ino-1

Reorder the terms:
c = -0.4ino-1 + 0.8o-1s-1x-1

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