cos(2x)+10sin(2x)=10

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Solution for cos(2x)+10sin(2x)=10 equation: 


Simplifying
cos(2x) + 10sin(2x) = 10

Remove parenthesis around (2x)
cos * 2x + 10sin(2x) = 10

Reorder the terms for easier multiplication:
2cos * x + 10sin(2x) = 10

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

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

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

Multiply 10 * 2
2cosx + 20ins * x = 10

Multiply ins * x
2cosx + 20insx = 10

Solving
2cosx + 20insx = 10

Solving for variable 'c'.

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

Add '-20insx' to each side of the equation.
2cosx + 20insx + -20insx = 10 + -20insx

Combine like terms: 20insx + -20insx = 0
2cosx + 0 = 10 + -20insx
2cosx = 10 + -20insx

Divide each side by '2osx'.
c = 5o-1s-1x-1 + -10ino-1

Simplifying
c = 5o-1s-1x-1 + -10ino-1

Reorder the terms:
c = -10ino-1 + 5o-1s-1x-1

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