(1+sinx)(-3sinx)-(3cosx)(cosx)=

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Solution for (1+sinx)(-3sinx)-(3cosx)(cosx)= equation:


Simplifying
(1 + sinx)(-3sinx) + -1(3cosx)(cosx) = 0

Remove parenthesis around (-3insx)
(1 + insx) * -3insx + -1(3cosx)(cosx) = 0

Reorder the terms for easier multiplication:
-3insx(1 + insx) + -1(3cosx)(cosx) = 0
(1 * -3insx + insx * -3insx) + -1(3cosx)(cosx) = 0
(-3insx + -3i2n2s2x2) + -1(3cosx)(cosx) = 0

Remove parenthesis around (3cosx)
-3insx + -3i2n2s2x2 + -1 * 3cosx(cosx) = 0

Multiply -1 * 3
-3insx + -3i2n2s2x2 + -3cosx * cosx = 0

Multiply cosx * cosx
-3insx + -3i2n2s2x2 + -3c2o2s2x2 = 0

Reorder the terms:
-3c2o2s2x2 + -3insx + -3i2n2s2x2 = 0

Solving
-3c2o2s2x2 + -3insx + -3i2n2s2x2 = 0

Solving for variable 'c'.

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

Add '3insx' to each side of the equation.
-3c2o2s2x2 + -3insx + 3insx + -3i2n2s2x2 = 0 + 3insx

Combine like terms: -3insx + 3insx = 0
-3c2o2s2x2 + 0 + -3i2n2s2x2 = 0 + 3insx
-3c2o2s2x2 + -3i2n2s2x2 = 0 + 3insx
Remove the zero:
-3c2o2s2x2 + -3i2n2s2x2 = 3insx

Add '3i2n2s2x2' to each side of the equation.
-3c2o2s2x2 + -3i2n2s2x2 + 3i2n2s2x2 = 3insx + 3i2n2s2x2

Combine like terms: -3i2n2s2x2 + 3i2n2s2x2 = 0
-3c2o2s2x2 + 0 = 3insx + 3i2n2s2x2
-3c2o2s2x2 = 3insx + 3i2n2s2x2

Divide each side by '-3o2s2x2'.
c2 = -1ino-2s-1x-1 + -1i2n2o-2

Simplifying
c2 = -1ino-2s-1x-1 + -1i2n2o-2

Reorder the terms:
c2 + ino-2s-1x-1 + i2n2o-2 = -1ino-2s-1x-1 + ino-2s-1x-1 + -1i2n2o-2 + i2n2o-2

Combine like terms: -1ino-2s-1x-1 + ino-2s-1x-1 = 0
c2 + ino-2s-1x-1 + i2n2o-2 = 0 + -1i2n2o-2 + i2n2o-2
c2 + ino-2s-1x-1 + i2n2o-2 = -1i2n2o-2 + i2n2o-2

Combine like terms: -1i2n2o-2 + i2n2o-2 = 0
c2 + ino-2s-1x-1 + i2n2o-2 = 0

The solution to this equation could not be determined.

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