cos^2(2X)-SIN^2(2X)=0.5

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Solution for cos^2(2X)-SIN^2(2X)=0.5 equation: 


Simplifying
cos2(2X) + -1SIN2(2X) = 0.5

Remove parenthesis around (2X)
cos2 * 2X + -1SIN2(2X) = 0.5

Reorder the terms for easier multiplication:
2cos2 * X + -1SIN2(2X) = 0.5

Multiply cos2 * X
2cos2X + -1SIN2(2X) = 0.5

Remove parenthesis around (2X)
2cos2X + -1IN2S * 2X = 0.5

Reorder the terms for easier multiplication:
2cos2X + -1 * 2IN2S * X = 0.5

Multiply -1 * 2
2cos2X + -2IN2S * X = 0.5

Multiply IN2S * X
2cos2X + -2IN2SX = 0.5

Reorder the terms:
-2IN2SX + 2cos2X = 0.5

Solving
-2IN2SX + 2cos2X = 0.5

Solving for variable 'I'.

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

Add '-2cos2X' to each side of the equation.
-2IN2SX + 2cos2X + -2cos2X = 0.5 + -2cos2X

Combine like terms: 2cos2X + -2cos2X = 0
-2IN2SX + 0 = 0.5 + -2cos2X
-2IN2SX = 0.5 + -2cos2X

Divide each side by '-2N2SX'.
I = -0.25N-2S-1X-1 + cos2N-2S-1

Simplifying
I = -0.25N-2S-1X-1 + cos2N-2S-1

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