(1-2sinx)(1+2sinx)=4cos^2X-3

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Solution for (1-2sinx)(1+2sinx)=4cos^2X-3 equation:


Simplifying
(1 + -2sinx)(1 + 2sinx) = 4cos2X + -3

Multiply (1 + -2insx) * (1 + 2insx)
(1(1 + 2insx) + -2insx * (1 + 2insx)) = 4cos2X + -3
((1 * 1 + 2insx * 1) + -2insx * (1 + 2insx)) = 4cos2X + -3
((1 + 2insx) + -2insx * (1 + 2insx)) = 4cos2X + -3
(1 + 2insx + (1 * -2insx + 2insx * -2insx)) = 4cos2X + -3
(1 + 2insx + (-2insx + -4i2n2s2x2)) = 4cos2X + -3

Combine like terms: 2insx + -2insx = 0
(1 + 0 + -4i2n2s2x2) = 4cos2X + -3
(1 + -4i2n2s2x2) = 4cos2X + -3

Reorder the terms:
1 + -4i2n2s2x2 = -3 + 4cos2X

Solving
1 + -4i2n2s2x2 = -3 + 4cos2X

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -4i2n2s2x2 = -3 + -1 + 4cos2X

Combine like terms: 1 + -1 = 0
0 + -4i2n2s2x2 = -3 + -1 + 4cos2X
-4i2n2s2x2 = -3 + -1 + 4cos2X

Combine like terms: -3 + -1 = -4
-4i2n2s2x2 = -4 + 4cos2X

Divide each side by '-4n2s2x2'.
i2 = n-2s-2x-2 + -1cn-2ox-2X

Simplifying
i2 = n-2s-2x-2 + -1cn-2ox-2X

Reorder the terms:
i2 = -1cn-2ox-2X + n-2s-2x-2

Reorder the terms:
cn-2ox-2X + i2 + -1n-2s-2x-2 = -1cn-2ox-2X + n-2s-2x-2 + cn-2ox-2X + -1n-2s-2x-2

Reorder the terms:
cn-2ox-2X + i2 + -1n-2s-2x-2 = -1cn-2ox-2X + cn-2ox-2X + n-2s-2x-2 + -1n-2s-2x-2

Combine like terms: -1cn-2ox-2X + cn-2ox-2X = 0
cn-2ox-2X + i2 + -1n-2s-2x-2 = 0 + n-2s-2x-2 + -1n-2s-2x-2
cn-2ox-2X + i2 + -1n-2s-2x-2 = n-2s-2x-2 + -1n-2s-2x-2

Combine like terms: n-2s-2x-2 + -1n-2s-2x-2 = 0
cn-2ox-2X + i2 + -1n-2s-2x-2 = 0

The solution to this equation could not be determined.

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