7sinx+8=6cos^2x+9

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Solution for 7sinx+8=6cos^2x+9 equation:


Simplifying
7sinx + 8 = 6cos2x + 9

Reorder the terms:
8 + 7insx = 6cos2x + 9

Reorder the terms:
8 + 7insx = 9 + 6cos2x

Solving
8 + 7insx = 9 + 6cos2x

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + 7insx = 9 + -8 + 6cos2x

Combine like terms: 8 + -8 = 0
0 + 7insx = 9 + -8 + 6cos2x
7insx = 9 + -8 + 6cos2x

Combine like terms: 9 + -8 = 1
7insx = 1 + 6cos2x

Divide each side by '7nsx'.
i = 0.1428571429n-1s-1x-1 + 0.8571428571cn-1os

Simplifying
i = 0.1428571429n-1s-1x-1 + 0.8571428571cn-1os

Reorder the terms:
i = 0.8571428571cn-1os + 0.1428571429n-1s-1x-1

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