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Trignometry

New kid on the Block

 Joined: 3 Jun 2012 Post: 2
3 Jun 2012 18:44:19 IST
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SinA+SinB+SinC=3, Find the Value of CosA+CosB+CosC
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Trigonometry

SinA+SinB+SinC=3, Find the Value of CosA+CosB+CosC

Scorching goIITian

Joined: 2 Jan 2012
Posts: 213
3 Jun 2012 18:49:42 IST
1 people liked this

maximum value of sin theta=1 .It is given that SinA+SinB+SinC=3.therefore SinA=SinB=SinC=1.therefore cos A=cos B=cos C=0.Therefore cosA+ cosB +cos C=0

Blazing goIITian

Joined: 22 May 2009
Posts: 2467
4 Jun 2012 15:26:03 IST
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hello dear

SinA+SinB+SinC=3

hence A = B = C = 900

hence cos A + cos B+ cos C = 0 + 0 + 0 = 0

no other solution can exist for this problem

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