Cosh 3x = 4 cosh³x - 3 coshx
Matematika
Allenwell
Pertanyaan
Cosh 3x = 4 cosh³x - 3 coshx
1 Jawaban
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1. Jawaban AiniHafsah
Cos 3x = 4 cos^3 x - 3 cos x
Terapkan identitas trigonometri
cos (a+b)=cos a . Cos b - sin a . Sin b
cos 2x =2sib x. Cos x
Kita mendapatkan :
Cos 3x= cos (x+2x)= cos x . Cos 2x - sin x . Sin 2x =0
cos x (2 cos^2 x -1) - 2 sin^2 x . Cos x= 0
2 cos^3 x - cos x - 2 cos x (1-cos2 x)= 0
2 cos^3 x - cos x - 2 cos x + 2 cos^3 x = 0
Cos 3x = 4 cos^3 x - 3 cos x
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