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If cosθ1 + cosθ2 + cosθ3 = 3, then what is sinθ1 + sinθ2 + sinθ3 equal to?
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If cosθ1+ cosθ2+ cosθ3= 3, then what is sinθ1+...
Since cosθ1 + cosθ2 + cosθ3 = 3
It is possible only when all three terms are equal to 1. (As maximum value of cosθ is 1)
∴ cosθ1 = cosθ2 = cosθ3 = 1
∴ θ1 = θ2 = θ3 = 0°
Putting the values in sinθ1 + sinθ2 + sinθ3;
sinθ1 + sinθ2 + sinθ3 = 0 + 0 + 0 = 0
It is possible only when all three terms are equal to 1. (As maximum value of cosθ is 1)
∴ cosθ1 = cosθ2 = cosθ3 = 1
∴ θ1 = θ2 = θ3 = 0°
Putting the values in sinθ1 + sinθ2 + sinθ3;
sinθ1 + sinθ2 + sinθ3 = 0 + 0 + 0 = 0
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If cosθ1+ cosθ2+ cosθ3= 3, then what is sinθ1+...
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If cosθ1+ cosθ2+ cosθ3= 3, then what is sinθ1+...
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