If sin a1 +sin a2 +sin a3 =3, then cos a1 + cos a2 + cos a3 =?
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52
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,
cosa1 + cosa2 + cosa3 = 0
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,
cosa1 + cosa2 + cosa3 = 0
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5
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