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13 August, 13:36

Simplify the trigonometric expression.

sin4 (α) - cos4 (α) + cos2 (α)

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  1. 13 August, 13:43
    0
    sin² (α)

    Step-by-step explanation:

    sin⁴ (α) - cos⁴ (α) + cos² (α)

    sin⁴ (α) - cos² (α) (cos² (α) - 1)

    sin⁴ (α) - cos² (α) (-sin² (α))

    sin⁴ (α) + sin² (α) cos² (α)

    sin² (α) (sin² (α) + cos² (α))

    sin² (α) (1)

    sin² (α)
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