Download App

Model Paper 8 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 81 Mark
MCQ
$\sin \frac{\pi}{12}=?$
  • A
    $\frac{(\sqrt{3}+1)}{2 \sqrt{2}}$
  • B
    $\frac{(\sqrt{3}-1)}{2 \sqrt{2}}$
  • C
    $\frac{(2 \sqrt{3}+1)}{2 \sqrt{5}}$
  • D
    $\frac{-(\sqrt{3}-1)}{2}$
✓

Answer

(b) $\frac{(\sqrt{3}-1)}{2 \sqrt{2}}$
Explanation: $\sin \frac{\pi}{12}=\sin \left(\frac{\pi}{4}-\frac{\pi}{6}\right)=\sin \frac{\pi}{4} \cos \frac{\pi}{6}-\cos \frac{\pi}{4} \sin \frac{\pi}{6}$ 
$=\left(\frac{1}{\sqrt{2}} \times \frac{\sqrt{3}}{2}\right)-\left(\frac{1}{\sqrt{2}} \times \frac{1}{2}\right)=\frac{(\sqrt{3}-1)}{2 \sqrt{2}}$

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 8→Model Paper 8 — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

A = (1, -1, 2) and B = (2, 3, 7) are two points. lf P, O divide AB in the ratios 2 : 3, -2 : 3 respectively then Px​ + Qy ​=
→

If the coefficients of the (n + 1)th term and the (n + 3)th term in the expansion of $(1+\text{x})^{20}$ are equal, then the value of n is:

  1. 10
  2. 8
  3. 9
  4. None of these.
→
Number of identical terms in the sequence 2, 5, 8, 11,… upto 100 terms and 3, 5, 7, 9, 11, … upto 100 terms, are:
→
The value of a such that x2 - 11x + a = 0 and x2 - 14x + 2a = 0 may have a common root is:
  1. 0
  2. 12
  3. 24
  4. 32
→
The value of $\cos\frac{\pi}{65}\cos\frac{2\pi}{65}\cos\frac{4\pi}{65}\cos\frac{8\pi}{65}\cos\frac{16\pi}{65}\cos\frac{32\pi}{65}$ is:
  1. $\frac{1}{8}$
  2. $\frac{1}{16}$
  3. $\frac{1}{32}$
  4. None of these
→
The value of $\frac{\text{i}^{592}+\text{i}^{590}+\text{i}^{588}+\text{i}^{586}+\text{i}^{584}}{\text{i}^{582}+\text{i}^{580}+\text{i}^{578}+\text{i}^{576}+\text{i}^{574}}-1$ is 
  1. -1
  2. -2
  3. -3
  4. -4
→
If $4\text{x}+3<6\text{x}+7$ then x belongs to the interval:
→

If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be:

→
The equation of the circle passing through (3, 6) and whose centre is (2, -1) is:
→
 What is the value of $\lim_{\text{y} \rightarrow \frac{\pi}{2}}\frac{\text{sin}}{\text{x}} ?$
→