MCQ
$\sin 50^\circ - \sin 70^\circ + \sin 10^\circ = $
- A$1$
- ✓$0$
- C$1/2$
- D$2$
$ = - 2\,\,\cos \,\,{60^o}\sin \,\,{10^o} + \sin \,\,{10^o}$
$ = \,\sin \,{10^o}\,(1 - 2\,\,\cos \,\,{60^o}) = 0.$
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Then $\sum_{\theta \in S } \sin ^2\left(\theta+\frac{\pi}{4}\right)$ is equal to
| Age | $15$ | $16$ | $17$ | $18$ | $19$ | $20$ |
| No. of students | $5$ | $8$ | $5$ | $12$ | $X$ | $Y$ |
If the mean deviation about the median is $1.25$ , then $4 x+5 y$ is equal to :
$I$. $4$ divides $x$ or $4$ divides $y$.
$II$. $3$ divides $x+y$ or $3$ divides $x-y$.
$III$. $5$ divides $z\left(x^2-y^2\right)$.