To find the formula for cos^2x in terms of double angle, we’ll start with the double angle formula for cos(2x):
cos(2x) = 2cos^2(x) – 1
To get cos^2(x) alone on one side, we can rearrange the formula:
2cos^2(x) = cos(2x) + 1
Finally, dividing both sides of the equation by 2, we have:
cos^2(x) = (cos(2x) + 1) / 2
Therefore, the formula for cos^2x in terms of the double angle is:
cos^2x = (cos(2x) + 1) / 2
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