Math, asked by mayank1887, 8 months ago

(i) sin2 A+ cos4 A = cos2 A+ sin4 A​

Answers

Answered by prabhas24480
2

sin4A+cos4A

We have (a2+b2)2=a4+b4+2a2b2 

⇒a4+b4=(a2+b2)2−2a2b2 

Take a=sinA and b=cosA we get

sin4A+cos4A=(sin2A+cos2A)2−2sin2Acos2A 

                  =1−2sin2Acos2A  proved. 

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