Grade 10Trigonometry
IF SinA1 + SinA2 + SinA3 = 1then find the value of, cosA1 + cosA2 +cosA3
IF SinA1 + SinA2 + SinA3 = 1
then find the value of,
cosA1 + cosA2 +cosA3
2 Answers
Charchit Tailong
Square both the sides and start manipulating.
Note. take sinA3 to RHS
Note. take sinA3 to RHS
Udit Jauhari
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°
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
cos90° = 0
so, cosa1 = cosa2 = cosa3 = 0
hence,
cos a1+cos a2+cos a3=0
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