Simplify the trigonometric expression.

sin4 (α) - cos4 (α) + cos2 (α)

Question

Mathematics

Elizabeth Wise

11 June, 03:12

Simplify the trigonometric expression.

sin4 (α) - cos4 (α) + cos2 (α)

+4

Answers (1)

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Owens · Answer 1

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)

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

Simplify the trigonometric expression.

sin4 (α) - cos4 (α) + cos2 (α)