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if sin^2 (A)+sin(A)=1; then what is the value of cos^2(A)+sin^4(A)=?

if sin^2 (A)+sin(A)=1; then what  is the value of  cos^2(A)+sin^4(A)=?

Grade:12

1 Answers

Arun
25758 Points
4 years ago
 
Dear student
 

We have,

sinA + sin2A = 1   ...(1) 

⇒ sinA = – sin2A   ...(2)

Now

cos2+ cos4

= (– sin2A) + {(1 – sin2A)}2

= sinA + sin2[from (2)]  

= 1 [from (1)]

 

Regards

Arun (askIITians forum expert)

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