Question:
If \( \sin \theta_1 + \sin \theta_2 + \sin \theta_3 = 3 \), then
\( \cos \theta_1 + \cos \theta_2 + \cos \theta_3 = \)
If \( \sin \theta_1 + \sin \theta_2 + \sin \theta_3 = 3 \), then
\( \cos \theta_1 + \cos \theta_2 + \cos \theta_3 = \)
\( \cos \theta_1 + \cos \theta_2 + \cos \theta_3 = \)
Show Hint
Maximum value conditions often force equality.
Updated On: Mar 23, 2026
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The Correct Option is A
Solution and Explanation
Step 1: Maximum value of \( \sin \theta \) is \( 1 \).
Step 2: Given sum is \( 3 \), hence
\( \sin \theta_1 = \sin \theta_2 = \sin \theta_3 = 1 \)
\( \Rightarrow \theta_1 = \theta_2 = \theta_3 = \dfrac{\pi}{2} \)
Step 3:
\( \cos \left(\dfrac{\pi}{2}\right) = 0 \)
\( \Rightarrow \) sum \( = 0 \)
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