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Alessia B.

asked • 04/12/22

Use half angle or power reduction formulas to fill in the blanks in the identity below:

Use half angle or power reduction formulas to fill in the blanks in the identity below:

${(\sin (3 x))}^{4}$ = $- \frac{1}{2} \cos ($ $x$ ) $+ \frac{1}{8} \cos ($ $x$ )

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1 Expert Answer

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Mark M. answered • 04/13/22

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sin⁴ (3x)

[sin² (3x)][sin² (3x)]

[(1 - cos 6x) / 2][(1 - cos 6x) / 2]

(1 - 2 cos 6x + cos² 6x) / 4

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