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

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


Simplifying
2sin2x + -1 = sin2x + -1cos2x

Reorder the terms:
-1 + 2in2sx = sin2x + -1cos2x

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

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

Solving for variable 'i'.

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

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

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

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

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

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

Divide each side by '1n2sx'.
i = n-2s-1x-1 + -1cn-2os

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

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

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