cos⁴a - cos²a = sin⁴ a sin² a
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Answered by
1
Answer:
Step-by-step explanation:
Prove that cos⁴A-cos²A=sin⁴A-sin²A.
LHS = cos⁴ A - cos² A
= cos²A( cos² A - 1 )
= ( 1 - sin² A )[ -( 1 - cos² A ) ]
= ( 1 - sin² A ) ( - sin² A )
= - sin² A + sin⁴ A
= sin⁴ A - sin² A
= RHS
Answered by
3
Answer:
cos²a(cos²a-1) =
1-sin²a(-sin²a)
-sin²a + sin⁴a
sin⁴a - sin²a = RHS
Mark it as brainliest.
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