(1+2sin(x))(1-2sin(x))=4cos^2(x)-3

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Solution for (1+2sin(x))(1-2sin(x))=4cos^2(x)-3 equation: 


Simplifying
(1 + 2sin(x))(1 + -2sin(x)) = 4cos2(x) + -3

Multiply ins * x
(1 + 2insx)(1 + -2sin(x)) = 4cos2(x) + -3

Multiply ins * x
(1 + 2insx)(1 + -2insx) = 4cos2(x) + -3

Multiply (1 + 2insx) * (1 + -2insx)
(1(1 + -2insx) + 2insx * (1 + -2insx)) = 4cos2(x) + -3
((1 * 1 + -2insx * 1) + 2insx * (1 + -2insx)) = 4cos2(x) + -3
((1 + -2insx) + 2insx * (1 + -2insx)) = 4cos2(x) + -3
(1 + -2insx + (1 * 2insx + -2insx * 2insx)) = 4cos2(x) + -3
(1 + -2insx + (2insx + -4i2n2s2x2)) = 4cos2(x) + -3

Combine like terms: -2insx + 2insx = 0
(1 + 0 + -4i2n2s2x2) = 4cos2(x) + -3
(1 + -4i2n2s2x2) = 4cos2(x) + -3

Multiply cos2 * x
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-1

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

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

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

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

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

The solution to this equation could not be determined.

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