Question

prove that
sin^4 A − cos^4 A = sin^2 A − cos^2 A

Answer 1

Answer:proved

Step-by-step explanation:sin^4A-cos4A=1

We know, (a^2-b^2)=(a+b)(a-b)

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

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

But sin^2A+cos^2A=1

So, 1×(sin^2A-cos^2A)=(sin^2A-cos^2A)=R.H.S proved

Mark me the Brainliest