Question:
If \( 0 < x < \dfrac{\pi}{2} \), then
If \( 0 < x < \dfrac{\pi}{2} \), then
Show Hint
Remember the order: sin x < x < tan x for acute angles.
Updated On: Mar 20, 2026
- \(\tan x< x<\sin x\)
- \(x<\sin x<\tan x\)
- \(\sin x< x<\tan x\)
- None of these
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
For \( 0 < x < \dfrac{\pi}{2} \), the standard inequality is:
\( \sin x < x < \tan x \)
\( \sin x < x < \tan x \)
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
- The solution of $\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$ is
- BITSAT - 2006
- Mathematics
- Properties of Inverse Trigonometric Functions
- If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to
- BITSAT - 2007
- Mathematics
- Quadratic Equations
- $(x -1) (x^2 - 5x + 7) < (x -,1),$ then $x$ belongs to
- BITSAT - 2007
- Mathematics
- Relations and functions
- An ellipse has $OB$ as semi-minor axis, $F$ and $F$ are its foci and the $\angle FBF$, is a right angle. Then, the eccentricity of the ellipse is
- BITSAT - 2013
- Mathematics
- Section Formula
- $2^{1/4}. 2^{2/8}. 2^{3/16}. 2^{4/32}......\infty$ is equal to-
- BITSAT - 2017
- Mathematics
- Sequence and series
View More Questions
Top BITSAT Trigonometry Questions
- If \( \sec^2 \theta = \frac{4}{3} \), then the general value of \( \theta \) is:
- BITSAT - 2023
- Mathematics
- Trigonometry
- If \( \tan^{-1}\left(\frac{1}{1+1\cdot2}\right) + \tan^{-1}\left(\frac{1}{1+2\cdot3}\right) + \ldots + \tan^{-1}\left(\frac{1}{1+n(n+1)}\right) = \tan^{-1}(x) \), then \( x \) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
- If \[ y = \tan^{-1} \left( \frac{1}{x^2 + x + 1} \right) + \tan^{-1} \left( \frac{1}{x^2 + 3x + 3} \right) + \tan^{-1} \left( \frac{1}{x^2 + 5x + 7} \right) + \cdots { (to n terms)} \], then \(\frac{dy}{dx}\) is:
- BITSAT - 2024
- Mathematics
- Trigonometry
- Let \(A\), \(B\) and \(C\) are the angles of a triangle and \(\tan \frac{A}{2} = 1/3\), \(\tan \frac{B}{2} = \frac{2}{3}\). Then, \(\tan \frac{C}{2}\) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
- The sum of all values of \(x\) in \([0, 2\pi]\), for which \(x + \sin(2x) + \sin(3x) + \sin(4x) = 0\) is equal to:
- BITSAT - 2024
- Mathematics
- Trigonometry
View More Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- BITSAT - 2009
- potential energy
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- BITSAT - 2012
- Pressure
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- BITSAT - 2009
- Projectile motion
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
- BITSAT - 2006
- Projectile motion
View More Questions