Jawaban:
sin (22,5) = 0,487175.
Cos 2A = 1 - 2 sin² A
2 sin² A = 1 - cos 2A
sin² A = 1/2 - 1/2 cos 2A
sin A = √{1/2 - 1/2 cos 2A}
sin22,5 = √{1/2 - 1/2 cos 45}
sin22,5 = √(1/2 - 1/2(1/2 √2)
sin22,5 = √(1/2 - 1/4√2)
sin 22,5= √{1/4 (2 -√2)}
sin 22,5 = 1/2 √(2 - √2)
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Jawaban:
sin (22,5) = 0,487175.
Jawaban:
Cos 2A = 1 - 2 sin² A
2 sin² A = 1 - cos 2A
sin² A = 1/2 - 1/2 cos 2A
sin A = √{1/2 - 1/2 cos 2A}
sin22,5 = √{1/2 - 1/2 cos 45}
sin22,5 = √(1/2 - 1/2(1/2 √2)
sin22,5 = √(1/2 - 1/4√2)
sin 22,5= √{1/4 (2 -√2)}
sin 22,5 = 1/2 √(2 - √2)