(-6sinx)(8-7cosx)-(6cosx)(7sinx)=

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Solution for (-6sinx)(8-7cosx)-(6cosx)(7sinx)= equation:


Simplifying
(-6sinx)(8 + -7cosx) + -1(6cosx)(7sinx) = 0

Remove parenthesis around (-6insx)
-6insx(8 + -7cosx) + -1(6cosx)(7sinx) = 0
(8 * -6insx + -7cosx * -6insx) + -1(6cosx)(7sinx) = 0

Reorder the terms:
(42cinos2x2 + -48insx) + -1(6cosx)(7sinx) = 0
(42cinos2x2 + -48insx) + -1(6cosx)(7sinx) = 0

Remove parenthesis around (6cosx)
42cinos2x2 + -48insx + -1 * 6cosx(7sinx) = 0

Remove parenthesis around (7insx)
42cinos2x2 + -48insx + -1 * 6cosx * 7insx = 0

Reorder the terms for easier multiplication:
42cinos2x2 + -48insx + -1 * 6 * 7cosx * insx = 0

Multiply -1 * 6
42cinos2x2 + -48insx + -6 * 7cosx * insx = 0

Multiply -6 * 7
42cinos2x2 + -48insx + -42cosx * insx = 0

Multiply cosx * insx
42cinos2x2 + -48insx + -42cinos2x2 = 0

Reorder the terms:
42cinos2x2 + -42cinos2x2 + -48insx = 0

Combine like terms: 42cinos2x2 + -42cinos2x2 = 0
0 + -48insx = 0
-48insx = 0

Solving
-48insx = 0

Solving for variable 'i'.

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

Divide each side by '-48'.
insx = 0

Simplifying
insx = 0

The solution to this equation could not be determined.

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