1-2sin^2=2cos^2-1

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Solution for 1-2sin^2=2cos^2-1 equation:


Simplifying
1 + -2sin2 = 2cos2 + -1

Reorder the terms:
1 + -2in2s = -1 + 2cos2

Solving
1 + -2in2s = -1 + 2cos2

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 + -2in2s = -1 + -1 + 2cos2

Combine like terms: 1 + -1 = 0
0 + -2in2s = -1 + -1 + 2cos2
-2in2s = -1 + -1 + 2cos2

Combine like terms: -1 + -1 = -2
-2in2s = -2 + 2cos2

Divide each side by '-2n2s'.
i = n-2s-1 + -1cn-2os

Simplifying
i = n-2s-1 + -1cn-2os

Reorder the terms:
i = -1cn-2os + n-2s-1

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