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26 votes
26 votes
If sin18=0.3090, cos 18=0.9511, sin 22=0.3746, and cos22=0.9272, then what is sin4

User Wooyoung Tyler Kim
by
2.8k points

1 Answer

12 votes
12 votes

Answer:


0.6428

Explanation:

  • Using the addition formula for sine


sin(x + y) = sinxcosy + cosxsiny


sin40 = sin(18 + 22)


= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428

User Thara
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3.3k points