If sin 18° = 0.3090, cos 18° = 0.9511, sin 22° = 0.3746, and

cos 22° = 0.9272, then what is sin 40°?

Question

Kendrick Pearson

Mathematics

10 January, 23:14

If sin 18° = 0.3090, cos 18° = 0.9511, sin 22° = 0.3746, and

cos 22° = 0.9272, then what is sin 40°?

+4

Answers (1)

Know the Answer?

Paityn Mayo · Answer 1

0.6428

Step-by-step explanation:

Using the addition formula for sine

sin (x + y) = sinxcosy + cosxsiny

Hence

sin40 = sin (18 + 22)

= sin18cos22 + cos18sin22

= (0.3090 * 0.9272) + (0.9511 * 0.3746)

= 0.2865 + 0.3563

= 0.6428

If sin 18° = 0.3090, cos 18° = 0.9511, sin 22° = 0.3746, andcos 22° = 0.9272, then what is sin 40°?

If sin 18° = 0.3090, cos 18° = 0.9511, sin 22° = 0.3746, and

cos 22° = 0.9272, then what is sin 40°?