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Question Number 91919 by zainal tanjung last updated on 03/May/20

$$\mathrm{The}\mathrm{value}\mathrm{of}\sin 12°\sin 48°\sin 54°\mathrm{is}$$

Commented by Tony Lin last updated on 03/May/20

$$sin12sin48sin54\left(indeg\right)$$$$=\frac{1}{2}[cos\left(36\right)-cos\left(60\right)]sin54$$$$=\frac{{sin}^{2}54}{2}-\frac{sin54}{4}$$$$=\frac{{\left(\frac{\sqrt{5}-1}{4}\right)}^2}{2}-\frac{\frac{\sqrt{5}-1}{4}}{4}$$$$=\frac{1}{8}$$

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