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

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


Simplifying
Cos2B + -1sin2B = 1 + -2sin2B

Reorder the terms:
-1in2sB + os2BC = 1 + -2sin2B

Solving
-1in2sB + os2BC = 1 + -2in2sB

Solving for variable 'i'.

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

Add '2in2sB' to each side of the equation.
-1in2sB + 2in2sB + os2BC = 1 + -2in2sB + 2in2sB

Combine like terms: -1in2sB + 2in2sB = 1in2sB
1in2sB + os2BC = 1 + -2in2sB + 2in2sB

Combine like terms: -2in2sB + 2in2sB = 0
1in2sB + os2BC = 1 + 0
1in2sB + os2BC = 1

Add '-1os2BC' to each side of the equation.
1in2sB + os2BC + -1os2BC = 1 + -1os2BC

Combine like terms: os2BC + -1os2BC = 0
1in2sB + 0 = 1 + -1os2BC
1in2sB = 1 + -1os2BC

Divide each side by '1n2sB'.
i = n-2s-1B-1 + -1n-2osC

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

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

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