cos^2x-sin^2x-2sinx-cos^2x-3=0

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Solution for cos^2x-sin^2x-2sinx-cos^2x-3=0 equation:


Simplifying
cos2x + -1sin2x + -2sinx + -1cos2x + -3 = 0

Reorder the terms:
-3 + cos2x + -1cos2x + -2insx + -1in2sx = 0

Combine like terms: cos2x + -1cos2x = 0
-3 + 0 + -2insx + -1in2sx = 0
-3 + -2insx + -1in2sx = 0

Solving
-3 + -2insx + -1in2sx = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + -2insx + 3 + -1in2sx = 0 + 3

Reorder the terms:
-3 + 3 + -2insx + -1in2sx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2insx + -1in2sx = 0 + 3
-2insx + -1in2sx = 0 + 3

Combine like terms: 0 + 3 = 3
-2insx + -1in2sx = 3

Reorder the terms:
-3 + -2insx + -1in2sx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2insx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 2insx + in2sx) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 2insx + in2sx)' equal to zero and attempt to solve: Simplifying 3 + 2insx + in2sx = 0 Solving 3 + 2insx + in2sx = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2insx + -3 + in2sx = 0 + -3 Reorder the terms: 3 + -3 + 2insx + in2sx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2insx + in2sx = 0 + -3 2insx + in2sx = 0 + -3 Combine like terms: 0 + -3 = -3 2insx + in2sx = -3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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