MCQ
Which of the following relations is correct
  • A
    $\sin 1 < \sin 1^\circ $
  • $\sin 1 > \sin 1^\circ $
  • C
    $\sin 1 = \sin 1^\circ $
  • D
    $\frac{\pi }{{180}}\sin \,\,\,1\, = \sin \,\,\,{1^o}$

Answer

Correct option: B.
$\sin 1 > \sin 1^\circ $
b
(b)The true relation is $\sin 1 > \sin 1^\circ $

Since value of $\sin \theta $ is increasing $\left[ {0 \to \frac{\pi }{2}} \right]$.

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

The expression $(1 + \tan x + {\tan ^2}x)$ $(1 - \cot x + {\cot ^2}x)$ has the positive values for $x$, given by
A rectangle is a quadrilateral and its four sides are equal. Which is not correct?
Let $A=(4,0), B=(0,12)$ be two points in the plane.The locus of a point $C$ such that the area of $\triangle A B C$ is $18$ sq units is
If the coordinates of the vertices $ A, B, C$ of the triangle $ABC$ be $( - \;4,\;2),$ $(12,\; - 2)$ and $(8,\;6)$ respectively, then $\angle \;B$=
Let $\alpha$ be a positive real number. Let $f: R \rightarrow R$ and $g :(\alpha, \infty) \rightarrow R$ be the functions defined by

$f(x)=\sin \left(\frac{\pi x}{12}\right) \text { and } g(x)=\frac{2 \log _{ e }(\sqrt{x}-\sqrt{\alpha})}{\log _{ e }\left( e ^{\sqrt{x}}- e ^{\sqrt{\alpha}}\right)} \text {. }$

Then the value of $\lim _{ x \rightarrow \alpha^{+}} f( g ( x ))$ is

Consider ellipses $E _{ k }: kx ^2+ k ^2 y ^2=1, k =1,2, \ldots$,$20$. Let $C _{ k }$ be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse $E_k$, If $r_k$ is the radius of the circle $C _{ k }$, then the value of $\sum \limits_{ k =1}^{20} \frac{1}{ I _{ k }^2}$ is $.......$.
The perpendicular distance of a line $4x + 3y + 5 = 0$ from the point $(-1, 2)$ is:
The length of the diameter of the circle which touches the $x-$ axis at the point $(1,0)$ and passes through the point $(2,3)$ is:
$\lim _{x \rightarrow 0} \frac{\sin ^{2}\left(\pi \cos ^{4} x\right)}{x^{4}}$ is equal to :
The angle between the straight lines $x - y\sqrt 3 = 5$ and $\sqrt {3x} + y = 7$is ............. $^\circ$