JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Medium

1 of 1

Application +4 | -1

\sum\limits_{{i=1}}^n \sin \theta_i=n

, then the value of

\sum\limits_{{i=1}}^n \cos \theta_i

View answer and explanation

Correct option: B

Option B (0) is correct because if

\sum_{i=1}^n \sin \theta_i = n

, then each

\sin \theta_i

must be 1, which means each

\theta_i = \frac{\pi}{2}

. Therefore, each

\cos \theta_i = 0

, and

\sum_{i=1}^n \cos \theta_i = 0

More Questions from TRIGONOMETRY RATIOS

Practice All Chapter MCQs →

\tan \alpha=\frac{p}{q}

\alpha=6 \beta

\alpha

\frac{1}{2}[p \operatorname{cosec} 2 \beta-q \sec 2 \beta]

\cos 12^{\circ}+\cos 84^{\circ}+\cos 156^{\circ}+\cos 132^{\circ}

\triangle A B C

C

{\sin ^6}\,\,\theta + {\cos ^6}\,\,\theta + 3{\sin ^2}\,\,\theta \,\,{\cos ^2}\,\,\theta

\sin ^2 \frac{A}{2}+\sin ^2 \frac{B}{2}+\sin ^2 \frac{C}{2}=

\sin ^2(A / 2)+\sin ^2(B / 2)-\sin ^2(C / 2)=