If sin _1 + sin _2 + sin _3 = 3, then cos _1 + cos _2 + cos _3= - Vidyadip

MCQ

If $sin\theta_1 + sin\theta_2 + sin\theta_3 = 3,$ then $cos\theta_1 + cos\theta_2 + cos\theta_3=$

A
$3$
B
$2$
C
$1$
✓
$0$

✓

Answer

Correct option: D.

$0$

d
Since $\sin \theta_{1}+\sin \theta_{2}+\sin \theta_{3}=3$

$\therefore \quad \sin \theta_{1}=\sin \theta_{2}=\sin \theta_{3}=1$

$\Rightarrow \quad \theta_{1}=\theta_{2}=\theta_{3}=\frac{\pi}{2}$

$ \therefore \quad \cos \theta_{1}=\cos \theta_{2}=\cos \theta_{3}=0 $

$ \therefore \quad \cos \theta_{1} =\cos \theta_{2}=\cos \theta_{3}=0 $

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