cos 2 x = 1 − 2 s i n 2 x cos 4 5 0 = 1 − 2 s i n 2 ( 22 , 5 ) 0 2 2 = 1 − 2 s i n 2 ( 22 , 5 ) 0 → s in ( 22 , 5 ) 0 = 2 2 − 2
The exact value of \sin 22.5^ can be calculated using the half-angle formula. It simplifies to 2 1 2 − 2 . This formula allows us to derive values of sine for angles that might not have straightforward reference values.
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