5cos(2x)+2sin(2x)=3

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Solution for 5cos(2x)+2sin(2x)=3 equation:


Simplifying
5cos(2x) + 2sin(2x) = 3

Remove parenthesis around (2x)
5cos * 2x + 2sin(2x) = 3

Reorder the terms for easier multiplication:
5 * 2cos * x + 2sin(2x) = 3

Multiply 5 * 2
10cos * x + 2sin(2x) = 3

Multiply cos * x
10cosx + 2sin(2x) = 3

Remove parenthesis around (2x)
10cosx + 2ins * 2x = 3

Reorder the terms for easier multiplication:
10cosx + 2 * 2ins * x = 3

Multiply 2 * 2
10cosx + 4ins * x = 3

Multiply ins * x
10cosx + 4insx = 3

Solving
10cosx + 4insx = 3

Solving for variable 'c'.

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

Add '-4insx' to each side of the equation.
10cosx + 4insx + -4insx = 3 + -4insx

Combine like terms: 4insx + -4insx = 0
10cosx + 0 = 3 + -4insx
10cosx = 3 + -4insx

Divide each side by '10osx'.
c = 0.3o-1s-1x-1 + -0.4ino-1

Simplifying
c = 0.3o-1s-1x-1 + -0.4ino-1

Reorder the terms:
c = -0.4ino-1 + 0.3o-1s-1x-1

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