Question

find the value of sin⁴A -cos⁴A​

Answer 1

Answer:

(sin²A)²-(cos²A)

(sin²A+cos²A)(sin²A-cos²A)

1+(sin²A-cos²A)

1+(1-cos²A-cis²A)

1+(1-2cos²A)

1+1-2cos²A

2-2cos²A

2(1-cos²A)

2sin²A

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Answer 2

Answer:

2sin^2 A - 1

Step-by-step explanation:

sin^4 A-cos^4 A=(sin^2 A)^2-(cos^2 A)^2

=(sin^2 A + cos^2 A)(sin^2 A-cos^2 A)

=sin^2 A-cos^2 A

=2sin^2 A - 1