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Lera25 [3.4K]
3 years ago
13

Simplify the trigonometric expression. sin4(α) − cos4(α) + cos2(α)

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

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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