Cos^2-sin^2=1-2sin^2

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


Simplifying
Cos2 + -1sin2 = 1 + -2sin2

Reorder the terms:
-1in2s + os2C = 1 + -2sin2

Solving
-1in2s + os2C = 1 + -2in2s

Solving for variable 'i'.

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

Add '2in2s' to each side of the equation.
-1in2s + 2in2s + os2C = 1 + -2in2s + 2in2s

Combine like terms: -1in2s + 2in2s = 1in2s
1in2s + os2C = 1 + -2in2s + 2in2s

Combine like terms: -2in2s + 2in2s = 0
1in2s + os2C = 1 + 0
1in2s + os2C = 1

Add '-1os2C' to each side of the equation.
1in2s + os2C + -1os2C = 1 + -1os2C

Combine like terms: os2C + -1os2C = 0
1in2s + 0 = 1 + -1os2C
1in2s = 1 + -1os2C

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

Simplifying
i = n-2s-1 + -1n-2osC

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

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