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riadik2000 [5.3K]
3 years ago
12

Cos2a=1-2sin^2a for all values of a.

Mathematics
2 answers:
Vikki [24]3 years ago
7 0

true (just did this on apex)

pickupchik [31]3 years ago
6 0
cos2a= cos^{2} a- sin^{2} a \\ but  \  cos^{2} a + sin^{2} a=1  \\ i.e. \  cos^{2} a=1- sin^{2} a
Therefore,
cos2a=1- sin^{2} a- sin^{2} a \\ =1-2 sin^{2} a
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