cos(5x)+sin(5x)=10

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Solution for cos(5x)+sin(5x)=10 equation:


Simplifying
cos(5x) + sin(5x) = 10

Remove parenthesis around (5x)
cos * 5x + sin(5x) = 10

Reorder the terms for easier multiplication:
5cos * x + sin(5x) = 10

Multiply cos * x
5cosx + sin(5x) = 10

Remove parenthesis around (5x)
5cosx + ins * 5x = 10

Reorder the terms for easier multiplication:
5cosx + 5ins * x = 10

Multiply ins * x
5cosx + 5insx = 10

Solving
5cosx + 5insx = 10

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.
5cosx + 5insx + -5insx = 10 + -5insx

Combine like terms: 5insx + -5insx = 0
5cosx + 0 = 10 + -5insx
5cosx = 10 + -5insx

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

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

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

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