Respuesta :

Answer:

sin^2(a) I believe. Delete my response if needed.

Step-by-step explanation:

tan²(α) (2 cos²(α) + sin²(α) - 1)

Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :

tan²(α) (2 cos²(α) - cos²(α))

tan²(α) cos²(α)

Rewrite tan(α) = sin(α) / cos(α) :

(sin(α) / cos(α))² cos²(α)

(sin²(α) / cos²(α)) cos²(α)

Cancel the factors of cos²(α) :

sin²(α)

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