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choli [55]
3 years ago
8

Find the exact value of the trigonometric expression given cos (22.5 ).

Mathematics
1 answer:
Digiron [165]3 years ago
3 0
Use the identity   cos^2 (a/2) =  1/2 (1 + cos a) so

cos^ 2 22.5  = cos^2 (45/2)  = 1/2 ( 1 + cos 45)  =  1/2(1 + sqrt2/ 2)4 = 1/2 + sqrt2/4

cos 22.5  =  sqrt ( 1/2 + sqrt2/4)  Answer
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