If ^ -1 (1 3 )+ ^ -1 x= 2 , then x= ________ - Vidyadip

Question

If $\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)+\cot ^{-1} x=\frac{\pi}{2}$, then $x=$ ________

✓

Answer

$\frac{1}{\sqrt{3}}$

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 "Fill In The Blanks[1 Marks ]" from Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Fill in the blanks.
The degree of the differential equation $\sqrt{1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^2}=\text{x}$ is _________.

If matrix $A=\left[a_{i j}\right]_{1 \times 3}$ and $\mathrm{a}_{\mathrm{ij}}=\frac{i+j}{2}$, then $\mathrm{A}=$……..

If $y=\sqrt{x^3}$ then the value of $\frac{d y}{d x}$ will be……..

The value of $\int_2^3 x^2 d x=$ _____________

The tangent of normal on curve $y=x^2+2$ at point $(1,3)$ will be.....

Fill in the blank.
The product of any matrix by the scalar _________ is the null matrix.

Fill in the blank.
A matrix which is not a square matrix is called a _________ matrix.

Fill in the blanks:
If A is a matrix of order $3 × 3$, then $(A^2)^{-1} =$ ________.

Fill in the blanks.
The values of k for which $|\text{k}\vec{\text{a}}|<|\vec{\text{a}}|$ and $\text{k}\vec{\text{a}}=\frac{1}{2}\vec{{\text{a}}}$ is a parallel to $\vec{\text{a}}$ holds true are _________.

If $f(x)=\left\{\begin{array}{c}\frac{x^3-a^3}{x-a}, x \neq a \\ b, x=a\end{array}\right.$, is continuous at $x=a$ then $b=$ _________ .