Question

16 Sin30 + 8 C0030 =​

Answer 1

$Value \:of \:16sin30 + 8 cos30 \\= 8(2sin30 + cos30)\\=8\Big(2 \times \frac{1}{2} + \frac{\sqrt{3}}{2}\Big)\\= 8\Big( 1 + \frac{\sqrt{3}}{2}\Big)\\= 8\Big( \frac{2+\sqrt{3}}{2}\Big)\\= 4(2+\sqrt{3}) \\= 4( 2+ 1.732) \\= 4\times3.1732\\= 12.6928$

Therefore.,

$\red{Value \:of \:16sin30 + 8 cos30}\green {=12.6928}$

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