sqrt(3)*cos(3x)+sin(3x)=sqrt(2)

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Solution for sqrt(3)*cos(3x)+sin(3x)=sqrt(2) equation:


Simplifying
sqrt(3) * cos(3x) + sin(3x) = sqrt(2)

Remove parenthesis around (3x)
qrst * 3cos * 3x + sin(3x) = sqrt(2)

Reorder the terms for easier multiplication:
3 * 3qrst * cos * x + sin(3x) = sqrt(2)

Multiply 3 * 3
9qrst * cos * x + sin(3x) = sqrt(2)

Multiply qrst * cos
9coqrs2t * x + sin(3x) = sqrt(2)

Multiply coqrs2t * x
9coqrs2tx + sin(3x) = sqrt(2)

Remove parenthesis around (3x)
9coqrs2tx + ins * 3x = sqrt(2)

Reorder the terms for easier multiplication:
9coqrs2tx + 3ins * x = sqrt(2)

Multiply ins * x
9coqrs2tx + 3insx = sqrt(2)

Reorder the terms for easier multiplication:
9coqrs2tx + 3insx = 2qrst

Solving
9coqrs2tx + 3insx = 2qrst

Solving for variable 'c'.

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

Add '-3insx' to each side of the equation.
9coqrs2tx + 3insx + -3insx = -3insx + 2qrst

Combine like terms: 3insx + -3insx = 0
9coqrs2tx + 0 = -3insx + 2qrst
9coqrs2tx = -3insx + 2qrst

Divide each side by '9oqrs2tx'.
c = -0.3333333333ino-1q-1r-1s-1t-1 + 0.2222222222o-1s-1x-1

Simplifying
c = -0.3333333333ino-1q-1r-1s-1t-1 + 0.2222222222o-1s-1x-1

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