cos^2(x)-sin^2(x)-2(sinx*cosx)=0

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Solution for cos^2(x)-sin^2(x)-2(sinx*cosx)=0 equation:


Simplifying
cos2(x) + -1sin2(x) + -2(sinx * cosx) = 0

Multiply cos2 * x
cos2x + -1sin2(x) + -2(sinx * cosx) = 0

Multiply in2s * x
cos2x + -1in2sx + -2(sinx * cosx) = 0

Multiply insx * cosx
cos2x + -1in2sx + -2(cinos2x2) = 0

Reorder the terms:
-2cinos2x2 + cos2x + -1in2sx = 0

Solving
-2cinos2x2 + cos2x + -1in2sx = 0

Solving for variable 'c'.

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

Add 'in2sx' to each side of the equation.
-2cinos2x2 + cos2x + -1in2sx + in2sx = 0 + in2sx

Combine like terms: -1in2sx + in2sx = 0
-2cinos2x2 + cos2x + 0 = 0 + in2sx
-2cinos2x2 + cos2x = 0 + in2sx
Remove the zero:
-2cinos2x2 + cos2x = in2sx

Combine like terms: in2sx + -1in2sx = 0
-2cinos2x2 + cos2x + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-2cinosx + cos + -1in2) = 0

Subproblem 1

Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2cinosx + cos + -1in2)' equal to zero and attempt to solve: Simplifying -2cinosx + cos + -1in2 = 0 Solving -2cinosx + cos + -1in2 = 0 Move all terms containing c to the left, all other terms to the right. Add 'in2' to each side of the equation. -2cinosx + cos + -1in2 + in2 = 0 + in2 Combine like terms: -1in2 + in2 = 0 -2cinosx + cos + 0 = 0 + in2 -2cinosx + cos = 0 + in2 Remove the zero: -2cinosx + cos = in2 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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