Math, asked by yana85, 11 months ago

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Answers

Answered by munna5036
17
yana I will will help you

sin6A + cos6A = (sin^2A )^3+ (cos^2A)^3 

= (sin^2A + cos^2A) (sin^4A - sin^2A cos^2A +cos^4A) (using identity (a3+ b3= (a+b) (a2 + ab + b2 ) 

= (1) (sin^2A)^2 +2 sin^2A cos^2A - 2sin^2 A cos^2A -sin^2A cos^2A + cos^4A) 

= (sin^2A + cos^2A)^2- 3 sin^2A cos^2A 

= 1- 3 sinA^2 cosA^2

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Answered by Anonymous
5

Hey mate


Here is your answer


Answer:


Step-by-step explanation: sin6A + cos6A = (sin^2A )^3+ (cos^2A)^3 


= (sin^2A + cos^2A) (sin^4A - sin^2A cos^2A +cos^4A) (using identity (a3+ b3= (a+b) (a2 + ab + b2 ) 


= (1) (sin^2A)^2 +2 sin^2A cos^2A - 2sin^2 A cos^2A -sin^2A cos^2A + cos^4A) 


= (sin^2A + cos^2A)^2- 3 sin^2A cos^2A 


= 1- 3 sinA^2 cosA^2


Hope you got it


Thank you for posting your question


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