MCQ
$\sin (\pi + \theta )\sin (\pi - \theta )\,{\rm{ cose}}{{\rm{c}}^2}\theta = $
  • A
    $1$
  • $-1$
  • C
    $\sin \theta $
  • D
    $ - \sin \theta $

Answer

Correct option: B.
$-1$
b
(b) $\sin (\pi + \theta )\sin (\pi - \theta ){\rm{cose}}{{\rm{c}}^2}\theta $

$ = - \sin \theta \sin \theta \frac{1}{{{{\sin }^2}\theta }} = - 1$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Let $a_{1}, a_{2}, \ldots \ldots, a_{21}$ be an $A.P.$ such that $\sum_{n=1}^{20} \frac{1}{a_{n} a_{n+1}}=\frac{4}{9}$. If the sum of this AP is $189,$ then  $a_{6} \mathrm{a}_{16}$ is equal to :
For any integer $k$, let $\alpha_k=\cos \left(\frac{k \pi}{7}\right)+i \sin \left(\frac{k \pi}{7}\right)$, where $i=\sqrt{-1}$. The value of the expression

$\frac{\sum_{k=1}^{12}\left|\alpha_{k+1}-\alpha_k\right|}{\sum_{k=1}^3\left|\alpha_{4 k-1}-\alpha_{4 k-2}\right|}$ is

The equation of a straight line drawn through the focus of the parabola ${y^2} = - 4x$ at an angle of $120^o $ to the $x$ - axis is
If the lines $ax + y + 1 = 0,x + by + 1 = 0$ and $x + y + c = 0$ ($a,\, b,\, c$ being distinct and different from $1$) are concurrent, then $\frac{1}{{1 - a}} + \frac{1}{{1 - b}} + \frac{1}{{1 - c}} = $
Solution of $|3-\text{x}| = 3-\text{x} $ is:
$3+13+29+51+79+\ldots$ to n terms $=:$
 
Let ${z_1},{z_2}$ be two complex numbers such that ${z_1} + {z_2}$ and ${z_1}{z_2}$ both are real, then
If ${z_1},{z_2},{z_3}......{z_n}$ are nth, roots of unity, then for $k = 1,\,2,.....,n$
Lets $S=\{z \in C:|z-1|=1$ and $(\sqrt{2}-1)(z+\bar{z})-i(z-\bar{z})=2 \sqrt{2}\}$. Let $\mathrm{z}_1, \mathrm{z}_2$ $\in S$ be such that $\left|z_1\right|=\max _{z \in S}|z|$ and $\left|z_2\right|=\min _{z \in S}|z|$. Then $\left|\sqrt{2} z_1-z_2\right|^2$ equals :
All possible two factors products are formed from numbers $1, 2, 3, 4, ...., 200$. The number of factors out of the total obtained which are multiples of $5$ is