3=3sinx+2cos^2x

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Solution for 3=3sinx+2cos^2x equation:


Simplifying
3 = 3sinx + 2cos2x

Reorder the terms:
3 = 2cos2x + 3insx

Solving
3 = 2cos2x + 3insx

Solving for variable 'c'.

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

Add '-2cos2x' to each side of the equation.
3 + -2cos2x = 2cos2x + -2cos2x + 3insx

Combine like terms: 2cos2x + -2cos2x = 0
3 + -2cos2x = 0 + 3insx
3 + -2cos2x = 3insx

Add '-3' to each side of the equation.
3 + -3 + -2cos2x = -3 + 3insx

Combine like terms: 3 + -3 = 0
0 + -2cos2x = -3 + 3insx
-2cos2x = -3 + 3insx

Divide each side by '-2os2x'.
c = 1.5o-1s-2x-1 + -1.5ino-1s-1

Simplifying
c = 1.5o-1s-2x-1 + -1.5ino-1s-1

Reorder the terms:
c = -1.5ino-1s-1 + 1.5o-1s-2x-1

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