Download App

INVERSE TRIGNOMETRIC FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSINVERSE TRIGNOMETRIC FUNCTIONS1 Mark
Question
State True or False for the statement.
The minimum value of n for which $\tan^{-1}\frac{\text{n}}{\pi}>\frac{\pi}{4},\ \text{n}\in\text{N},$ is valid is 5.
✓

Answer

False.Solution:
$\tan^{-1}\frac{\text{n}}{\pi}>\frac{\pi}{4}$
$\Rightarrow\ \frac{\text{n}}{\pi}>\tan\frac{\pi}{4}$
$\Rightarrow\ \frac{\text{n}}{\pi}>1$
$\Rightarrow\ \text{n}>\pi$
So, the minimum value of n is 4.

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 "True False[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

State True or False for the statements of the following Exercise:
The determinant $\begin{vmatrix}\sin\text{A}&\cos\text{A}&\sin\text{A}+\cos\text{B}\\\sin\text{B}&\cos\text{A}&\sin\text{B}+\cos\text{B}\\\sin\text{C}&\cos\text{A}&\sin\text{C}+\cos\text{B}\end{vmatrix}$ is equal to zero.
→
State True or False for the following:
The solution of the differential equation $\frac{\text{dy}}{\text{dx}}=\frac{\text{x}+2\text{y}}{\text{x}}$ is $\text{x}+\text{y}=\text{k}\text{x}^2.$
→
Which of the following statements are True or False.
Matrix multiplication is commutative.
→
State True or False for the following:
Correct substitution for the solution of the differential equation of the type $\frac{\text{dy}}{\text{dx}}=\text{g}(\text{x, y})$ where g(x, y) is a homogeneous function of the degree zero is x = vy.
→
State True or False for the statements of the following Exercise:
If A and B are matrices of order 3 and |A| = 5, |B| = 3, then |3AB| = 27 × 5 × 3 = 405.
→
State True or False for the statements of the following Exercise: $|A^{-1}| \neq |A|^{-1},$ where $A$ is non$-$singular matrix.
→
State True or False for the statements of the following Exercise:
$\begin{vmatrix}\text{x}+1&\text{x}+2&\text{x}+\text{a}\\\text{x}+2&\text{x}+3&\text{x}+\text{b}\\\text{x}+3&\text{x}+4&\text{x}+\text{c}\end{vmatrix}=0,$ where a, b, c are in A.P.
→
State True or False for the statements. The composition of functions is commutative.
→
Which of the following statements are True or False.
Matrices of different order can not be subtracted.
→
State True or False for the statements.
An integer m is said to be related to another integer n if m is a integral multiple of n. This relation in Z is reflexive, symmetric and transitive.
→