2cos(3x)+-5sin(3x)=1

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Solution for 2cos(3x)+-5sin(3x)=1 equation:


Simplifying
2cos(3x) + -5sin(3x) = 1

Remove parenthesis around (3x)
2cos * 3x + -5sin(3x) = 1

Reorder the terms for easier multiplication:
2 * 3cos * x + -5sin(3x) = 1

Multiply 2 * 3
6cos * x + -5sin(3x) = 1

Multiply cos * x
6cosx + -5sin(3x) = 1

Remove parenthesis around (3x)
6cosx + -5ins * 3x = 1

Reorder the terms for easier multiplication:
6cosx + -5 * 3ins * x = 1

Multiply -5 * 3
6cosx + -15ins * x = 1

Multiply ins * x
6cosx + -15insx = 1

Solving
6cosx + -15insx = 1

Solving for variable 'c'.

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

Add '15insx' to each side of the equation.
6cosx + -15insx + 15insx = 1 + 15insx

Combine like terms: -15insx + 15insx = 0
6cosx + 0 = 1 + 15insx
6cosx = 1 + 15insx

Divide each side by '6osx'.
c = 0.1666666667o-1s-1x-1 + 2.5ino-1

Simplifying
c = 0.1666666667o-1s-1x-1 + 2.5ino-1

Reorder the terms:
c = 2.5ino-1 + 0.1666666667o-1s-1x-1

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