what is the formula of cos 2a
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Answer:
The formula cos 2A = cos2 A − sin2 A
We now examine this formula more closely.
We know from an important trigonometric identity that
cos2 A + sin2 A = 1
so that by rearrangement
sin2 A = 1 − cos2 A.
So using this result we can replace the term sin2 A in the double angle formula. This gives
cos 2A = cos2 A − sin2 A
= cos2 A − (1 − cos2 A)
= 2 cos2 A − 1
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Answer:
cos2a = cos²a - sin²a
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