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Trignometry

Cool goIITian

 Joined: 7 May 2012 Post: 95
7 May 2012 18:21:53 IST
1 People liked this
1
270
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?

Scorching goIITian

Joined: 18 Feb 2012
Posts: 264
7 May 2012 23:30:01 IST
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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