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Trignometry

Cool goIITian

Joined:	7 May 2012
Post:	95

7 May 2012 18:21:53 IST

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find the value

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Trigonometry

if sinA-sinB=a and cosA+cosB=b then the minimum value of a²+b² is?

please tell the steps

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ronnie

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Joined: 18 Feb 2012

Posts: 264

7 May 2012 23:30:01 IST

Like 1 people liked this

sinA-sinB=a,cosA+cosB=b
sq both sides and adding the 2 eq. we get 2+2(cos(A+B))=a²+b²
min. value (cos(A+B)) is -1
so,min.(a²+b²)=0

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