2 22 1 2 ^ 22 1 2 ^ =?

MCQ

$2 \sin 22 \frac{1}{2}^{\circ} \cos 22 \frac{1}{2}^{\circ}=?$

A
$\sqrt{2}$
B
$\frac{1}{\sqrt{2}}$
C
$\frac{1}{2}$
D
1

✓

Answer

(b) $\frac{1}{\sqrt{2}}$]
Explanation: Using $2 \sin A \cos A =\sin 2 A$, we get
$2 \sin 22 \frac{1}{2}^{\circ} \cos 22 \frac{1}{2}^{\circ}=\sin \left(2 \times \frac{45}{2}\right)^{\circ}=\sin 45^{\circ}=\frac{1}{\sqrt{2}}$

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

Explore more

More "M.C.Q (1 Marks)" from Model Paper 3→Model Paper 3 — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\omega =\frac{-1+\sqrt{3}i}{2}$then ${{(3+\omega +3{{\omega }^{2}})}^{4}}$= [Karnataka CET 2004; Pb. CET 2000]

→

The bisector of the acute angle formed between the lines $4x - 3y + 7 = 0$and $3x - 4y + 14 = 0$has the equation

→

Let $a_1, a_2, a_3, \ldots$ be in an arithmetic progression of positive terms.

Let $\mathrm{A}_{\mathrm{k}}=\mathrm{a}_1{ }^2-\mathrm{a}_2{ }^2+\mathrm{a}_3{ }^2-\mathrm{a}_4{ }^2+\ldots+\mathrm{a}_{2 \mathrm{k}-1}{ }^2-\mathrm{a}_{2 \mathrm{k}}{ }^2$.

If $\mathrm{A}_3=-153, \mathrm{~A}_5=-435$ and $\mathrm{a}_1{ }^2+\mathrm{a}_2{ }^2+\mathrm{a}_3{ }^2=66$, then $\mathrm{a}_{17}-\mathrm{A}_7$ is equal to....................

→

If the ${p^{th}}$ term of an $A.P.$ be $q$ and ${q^{th}}$ term be $p$, then its ${r^{th}}$ term will be

→

For a certain value of $c,$$\mathop {Lim}\limits_{x \to - \infty } $ $[(x^5 + 7x^4 + 2)^C - x]$ is finite & non zero. The value of $c$ and the value of the limit is

→

If $n \in N,$ then $n(n^2− 1)$ is divisible by:

→

The remainder obtained when the polynomial ${x^{64}} + {x^{27}} + 1$ is divided by $(x + 1)$ is

→

Choose the correct answers from the given four option: A survey shows that $63\%$ of the people watch a News Channel whereas $76\%$ watch another channel. If $x%$ of the people watch both channel, then

→

Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent.The number of parts into which these lines divide the plane, is: