Question

Prove
Sin^4 theta - Cos^4 theta=2 Sin^2 theta=1

Answer 1

Step-by-step explanation:

given,

sin^4A-cos^4A

a^2-b^2=(a+b)(a-b)

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

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

sin^2A+cos^2A=1

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

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

Ans: -cos2A

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