Sin*3*x+10=cos*2*x+15

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Solution for Sin*3*x+10=cos*2*x+15 equation:


Simplifying
Sin * 3x + 10 = cos * 2x + 15

Reorder the terms for easier multiplication:
3inS * x + 10 = cos * 2x + 15

Multiply inS * x
3inxS + 10 = cos * 2x + 15

Reorder the terms:
10 + 3inxS = cos * 2x + 15

Reorder the terms for easier multiplication:
10 + 3inxS = 2cos * x + 15

Multiply cos * x
10 + 3inxS = 2cosx + 15

Reorder the terms:
10 + 3inxS = 15 + 2cosx

Solving
10 + 3inxS = 15 + 2cosx

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + 3inxS = 15 + -10 + 2cosx

Combine like terms: 10 + -10 = 0
0 + 3inxS = 15 + -10 + 2cosx
3inxS = 15 + -10 + 2cosx

Combine like terms: 15 + -10 = 5
3inxS = 5 + 2cosx

Divide each side by '3nxS'.
i = 1.666666667n-1x-1S-1 + 0.6666666667cn-1osS-1

Simplifying
i = 1.666666667n-1x-1S-1 + 0.6666666667cn-1osS-1

Reorder the terms:
i = 0.6666666667cn-1osS-1 + 1.666666667n-1x-1S-1

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