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IF SinA 1 + SinA 2 + SinA 3 = 1 then find the value of, cosA 1 + cosA 2 +cosA 3

IF SinA1 + SinA2 + SinA3 = 1
then find the value of,  
cosA1 + cosA2 +cosA3

Grade:10

2 Answers

Charchit Tailong
askIITians Faculty 147 Points
8 years ago
Square both the sides and start manipulating.
Note. take sinA3 to RHS
Udit Jauhari
15 Points
5 years ago
Sina1 + sina2 + sina3 = 3 
we know , 
sine maximum value= 1 
so, above expression is correct only when , sina1 = sina2 = sina3 = 1 
e.g a1 = a2 = a3 = 90° 
but we know , 
cos90° = 0
so, cosa1 = cosa2 = cosa3 = 0

hence,
cos a1+cos a2+cos a3=0

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