Question

prove it: sin^4(A)+1- cos^4(A)=2sin^2(A)
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Answer 1

Answer:

LHS: ,

Sin⁴A + 1 - cos⁴A

= Sin⁴A -cos⁴A + 1

= (sin²A)² - ( cos²A)² + 1

= ( sin²A.+ cos²A)( sin²A - cos²A) + 1

= 1( sin²A - cos²A) + 1

= sin²A - cos²A + 1

= sin²A + ( 1 - cos²A)

= sin²A + sin²A

= 2 sin²A = RHS.

$..$

HENCE PROVED.

Step-by-step explanation:

Formula used : sin²∅ + cos²∅ = 1

and , a² - b² = ( a + b)( a - b).

Answer 2

Step-by-step explanation:

i hope it is helpful for u