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15 April, 06:31

Simplify the expression by using a double-angle formula or a half-angle formula.

7cos^2 (theta/9) - 7sin^2 (theta/9)

sin (theta/6) cos (theta/6)

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  1. 15 April, 08:45
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    Double-angle formulas:

    2sinФcosФ=sin (2 Ф) / : 2

    sinФcosФ=1/2*sin (2 Ф)

    sin (Ф/6) cos (Ф/6) = 1/2*sin (2*Ф/6) = 1/2*sin (Ф/3)

    cos²Ф-sin²Ф=cos (2 Ф) / * 7

    7cos²Ф-7sin²Ф=7cos (2 Ф)

    7cos² (Ф/9) - 7sin² (Ф/9) = 7cos (2*Ф/9) = 7cos (2 Ф/9)
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