Question

Sin⁴A ‐ cos⁴A/sin²A‐cos²A=1

Answer 1

Answer:

(sin²A) ²‐ ( cos²A) ² / sin²A‐cos²A

=> ( sin²A‐cos²A) ( sin²A+ cos²A) / sin²A‐cos²A

=> sin²A + cos²A

We know that, sin²A + cos²A = 1

So, L. H. S. = 1 = RHS. PROVED.

Answer 2

Answer:

(sin²a+cos²a) (sin²a-cos²a)

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(sin²a-cos²a)

=sin²a+cos²a

the trigonometry identity (sin²+cos²)=1

so that the answer is 1