cos(2x)-5sinx=3

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Solution for cos(2x)-5sinx=3 equation:


Simplifying
cos(2x) + -5sinx = 3

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

Reorder the terms for easier multiplication:
2cos * x + -5sinx = 3

Multiply cos * x
2cosx + -5sinx = 3

Solving
2cosx + -5insx = 3

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.
2cosx + -5insx + 5insx = 3 + 5insx

Combine like terms: -5insx + 5insx = 0
2cosx + 0 = 3 + 5insx
2cosx = 3 + 5insx

Divide each side by '2osx'.
c = 1.5o-1s-1x-1 + 2.5ino-1

Simplifying
c = 1.5o-1s-1x-1 + 2.5ino-1

Reorder the terms:
c = 2.5ino-1 + 1.5o-1s-1x-1

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