Download App

INVERSE TRIGNOMETRIC FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSINVERSE TRIGNOMETRIC FUNCTIONS1 Mark
MCQ
What is the value of $ {\sin}^{-1}(\sin 160^o)?$
  • A
    $160^0$
  • B
    $70^0$
  • ✓
    $-20^0$
  • D
    $20^0$
✓

Answer

Correct option: C.
$-20^0$
sinsin of an angle is positive in first and second quadrants.
$ \Rightarrow \sin ^{ -1 }{ (\sin { { 160 }^{ 0 } } } )$
$\Rightarrow(\sin ^{ -1 }{ (\sin { { (180-20) }^{ 0 } } })$
$=20^0$

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 INVERSE TRIGNOMETRIC FUNCTIONS→INVERSE TRIGNOMETRIC FUNCTIONS — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The volume of a sphere is increasing at the rate of $4\pi\text{cm}^{3}/\text{sec}$. The rate of increase of the radius when the volume is $288\pi\text{cm}^{3}/\text{sec}$ is:
  1. $\frac{1}{4}$
  2. $\frac{1}{12}$
  3. $\frac{1}{36}$
  4. $\frac{1}{9}$
→
If A = {1, 2, 3}, then a relation R = {(2, 3)} on A is:
  1. Symmetric and transitive only.
  2. Symmetric only.
  3. Transitive only.
  4. None of these.
→
Choose the correct answer from the given four options.The solution of the equation $(2\text{y}-1)\text{dx}-(2\text{x}+3)\text{dy}=0$ is:
  1. $\frac{2\text{x}-1}{2\text{y}+3}=\text{k}$
  2. $\frac{2\text{y}+1}{2\text{x}-3}=\text{k}$
  3. $\frac{2\text{x}+3}{2\text{y}-1}=\text{k}$
  4. $\frac{2\text{x}-1}{2\text{y}-1}=\text{k}$
→
$\frac{\text{d}^{20}}{\text{dx}^{20}}(2\cos\text{x}\cos3\text{x})=$
  1. $2^{20}(\cos2\text{x}-2^{20}\cos4\text{x})$
  2. $2^{20}(\cos2\text{x}+2^{20}\cos4\text{x})$
  3. $2^{20}(\sin2\text{x}+2^{20}\sin4^\text{x})$
  4. $2^{20}(\sin2\text{x}-2^{20}\sin4^\text{x})$
→
If $\left|\begin{array}{lll}<\text{br}> &1 &\text{amp; } 0 &\text{amp; } 0\\ <\text{br}>&2 &\text{amp; } 3 &\text{amp; } 4\\ <\text{br}>&5 &\text{amp; } -6 &\text{amp; x}<\text{br}> \end{array}\right|=45$ then $\text{x}=$
  1. 4
  2. 7
  3. -5
  4. -7
→
What is integrating factor of $\frac{d y}{d z}+y \sec x=\tan x$ ?
→
A and B are two events such that P(A) = 0.25 and P(B) = 0.50. The probability pf both happening together is 0.14. The probability of both A and B hot happening is.
→
The value of the determinant $\begin{vmatrix}\text{x}&\text{x}+\text{y}&\text{x}+2\text{y}\\\text{x}+2\text{y}&\text{x}&\text{x}+\text{y}\\\text{x}+\text{y}&\text{x}+2\text{y}&\text{x}\end{vmatrix}$ is:
→
The differential equation  $\frac{\text{d}^2\text{y}}{\text{dx}^2}+\frac{\text{dy}}{\text{dx}}+\text{y}+\text{x}^2=0$ of the following type:
  1. linear
  2. homogeneous
  3. order two
  4. degree one
→
If the direction cosine of a directed line be $a, 3a, 7a$ then $a =$
→