Prove that sin power 4A - cos power 4A=2sin power 2A - 1.
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Answer:
Step-by-step explanation:
Sin⁴A - Cos⁴A
= (Sin²A)² - (Cos²A)²
= (Sin²A + Cos²A)(Sin²A - Cos²A)
= Sin²A - Cos²A
= Sin²A - (1 - Sin²A)
= Sin²A - 1 + Sin²A
= 2Sin²A - 1
= R.H.S
Hence Proved
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