sin(13x)+cos(13x)=sqrt(2)sin(17x)

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Solution for sin(13x)+cos(13x)=sqrt(2)sin(17x) equation:


Simplifying
sin(13x) + cos(13x) = sqrt(2) * sin(17x)

Remove parenthesis around (13x)
ins * 13x + cos(13x) = sqrt(2) * sin(17x)

Reorder the terms for easier multiplication:
13ins * x + cos(13x) = sqrt(2) * sin(17x)

Multiply ins * x
13insx + cos(13x) = sqrt(2) * sin(17x)

Remove parenthesis around (13x)
13insx + cos * 13x = sqrt(2) * sin(17x)

Reorder the terms for easier multiplication:
13insx + 13cos * x = sqrt(2) * sin(17x)

Multiply cos * x
13insx + 13cosx = sqrt(2) * sin(17x)

Reorder the terms:
13cosx + 13insx = sqrt(2) * sin(17x)

Remove parenthesis around (17x)
13cosx + 13insx = qrst * 2ins * 17x

Reorder the terms for easier multiplication:
13cosx + 13insx = 2 * 17qrst * ins * x

Multiply 2 * 17
13cosx + 13insx = 34qrst * ins * x

Multiply qrst * ins
13cosx + 13insx = 34inqrs2t * x

Multiply inqrs2t * x
13cosx + 13insx = 34inqrs2tx

Solving
13cosx + 13insx = 34inqrs2tx

Solving for variable 'c'.

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

Add '-13insx' to each side of the equation.
13cosx + 13insx + -13insx = 34inqrs2tx + -13insx

Combine like terms: 13insx + -13insx = 0
13cosx + 0 = 34inqrs2tx + -13insx
13cosx = 34inqrs2tx + -13insx

Divide each side by '13osx'.
c = 2.615384615ino-1qrst + -1ino-1

Simplifying
c = 2.615384615ino-1qrst + -1ino-1

Reorder the terms:
c = -1ino-1 + 2.615384615ino-1qrst

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