3sinx+7=0.5cosx

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Solution for 3sinx+7=0.5cosx equation:


Simplifying
3sinx + 7 = 0.5cosx

Reorder the terms:
7 + 3insx = 0.5cosx

Solving
7 + 3insx = 0.5cosx

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + 3insx = -7 + 0.5cosx

Combine like terms: 7 + -7 = 0
0 + 3insx = -7 + 0.5cosx
3insx = -7 + 0.5cosx

Divide each side by '3nsx'.
i = -2.333333333n-1s-1x-1 + 0.1666666667cn-1o

Simplifying
i = -2.333333333n-1s-1x-1 + 0.1666666667cn-1o

Reorder the terms:
i = 0.1666666667cn-1o + -2.333333333n-1s-1x-1

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