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

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


Simplifying
Cos2y + -1sin2y = 1 + -2sin2y

Reorder the terms:
-1in2sy + os2yC = 1 + -2sin2y

Solving
-1in2sy + os2yC = 1 + -2in2sy

Solving for variable 'i'.

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

Add '2in2sy' to each side of the equation.
-1in2sy + 2in2sy + os2yC = 1 + -2in2sy + 2in2sy

Combine like terms: -1in2sy + 2in2sy = 1in2sy
1in2sy + os2yC = 1 + -2in2sy + 2in2sy

Combine like terms: -2in2sy + 2in2sy = 0
1in2sy + os2yC = 1 + 0
1in2sy + os2yC = 1

Add '-1os2yC' to each side of the equation.
1in2sy + os2yC + -1os2yC = 1 + -1os2yC

Combine like terms: os2yC + -1os2yC = 0
1in2sy + 0 = 1 + -1os2yC
1in2sy = 1 + -1os2yC

Divide each side by '1n2sy'.
i = n-2s-1y-1 + -1n-2osC

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

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

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