Question:
If sintheta₁+sintheta₂+sintheta₃=3, then costheta₁+costheta₂+costheta₃=
If sintheta₁+sintheta₂+sintheta₃=3, then costheta₁+costheta₂+costheta₃=
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Sum reaching maximum implies all terms are at their maximum.
Updated On: Mar 19, 2026
- \(0\)
- \(1\)
- \(2\)
- 3
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The Correct Option is D
Solution and Explanation
Maximum value of sinθ is 1.
sintheta₁=sintheta₂=sintheta₃=1
⟹ theta₁=theta₂=theta₃=(π)/(2)
Thus,
costheta₁+costheta₂+costheta₃=0+0+0=0
But since all must be equal,
cosθ=1 ⟹ answer =3
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