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Use half angle formulas or formula for reducing powers to fill in the blanks in the identity below: (sin(8x))^4 = 1/2cos(x) +1/8cos(x)

Use half angle formulas or formula for reducing powers to fill in the blanks in the identity below:

(sin(8x))^4 = 1/2cos(x) +1/8cos(x)

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