4cos(2x)+2sin(x)=3

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Solution for 4cos(2x)+2sin(x)=3 equation:


Simplifying
4cos(2x) + 2sin(x) = 3

Remove parenthesis around (2x)
4cos * 2x + 2sin(x) = 3

Reorder the terms for easier multiplication:
4 * 2cos * x + 2sin(x) = 3

Multiply 4 * 2
8cos * x + 2sin(x) = 3

Multiply cos * x
8cosx + 2sin(x) = 3

Multiply ins * x
8cosx + 2insx = 3

Solving
8cosx + 2insx = 3

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
8cosx + 2insx + -2insx = 3 + -2insx

Combine like terms: 2insx + -2insx = 0
8cosx + 0 = 3 + -2insx
8cosx = 3 + -2insx

Divide each side by '8osx'.
c = 0.375o-1s-1x-1 + -0.25ino-1

Simplifying
c = 0.375o-1s-1x-1 + -0.25ino-1

Reorder the terms:
c = -0.25ino-1 + 0.375o-1s-1x-1

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