tan^2x-sin^2x=tan^2x*sin^2x

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Solution for tan^2x-sin^2x=tan^2x*sin^2x equation:


Simplifying
tan2x + -1sin2x = tan2x * sin2x

Multiply an2tx * in2sx
an2tx + -1in2sx = ain4stx2

Solving
an2tx + -1in2sx = ain4stx2

Solving for variable 'a'.

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

Add '-1ain4stx2' to each side of the equation.
an2tx + -1ain4stx2 + -1in2sx = ain4stx2 + -1ain4stx2

Reorder the terms:
-1ain4stx2 + an2tx + -1in2sx = ain4stx2 + -1ain4stx2

Combine like terms: ain4stx2 + -1ain4stx2 = 0
-1ain4stx2 + an2tx + -1in2sx = 0

Add 'in2sx' to each side of the equation.
-1ain4stx2 + an2tx + -1in2sx + in2sx = 0 + in2sx

Combine like terms: -1in2sx + in2sx = 0
-1ain4stx2 + an2tx + 0 = 0 + in2sx
-1ain4stx2 + an2tx = 0 + in2sx
Remove the zero:
-1ain4stx2 + an2tx = in2sx

Combine like terms: in2sx + -1in2sx = 0
-1ain4stx2 + an2tx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'n2x'.
n2x(-1ain2stx + at + -1is) = 0

Subproblem 1

Set the factor 'n2x' equal to zero and attempt to solve: Simplifying n2x = 0 Solving n2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1n2x' to each side of the equation. n2x + -1n2x = 0 + -1n2x Remove the zero: 0 = -1n2x Simplifying 0 = -1n2x 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 '(-1ain2stx + at + -1is)' equal to zero and attempt to solve: Simplifying -1ain2stx + at + -1is = 0 Solving -1ain2stx + at + -1is = 0 Move all terms containing a to the left, all other terms to the right. Add 'is' to each side of the equation. -1ain2stx + at + -1is + is = 0 + is Combine like terms: -1is + is = 0 -1ain2stx + at + 0 = 0 + is -1ain2stx + at = 0 + is Remove the zero: -1ain2stx + at = is 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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