what is the exact value of sin 22.5 degrees using the sum, difference, half, or double angle formulas and the exact value chart

in the solution.

Mathematics

1 answer:

AlexFokin [52]3 years ago

8 0

$cos 2x=1-2sin^2x \\ cos 45^0=1-2sin^2(22,5)^0 \\ \frac{ \sqrt{2} }{2} =1-2sin^2(22,5)^0 \to sin(22,5)^0= \frac{ \sqrt{2- \sqrt{2} } }{2}$

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