Question
$\tan^{-1}(\sqrt{3})$
- $\frac{\pi}{6}$
- $\frac{\pi}{3}$
- $\frac{2\pi}{3}$
- $\frac{5\pi}{6}$
✓
Answer
- $\frac{\pi}{3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Let $A =\{1,2,3, \ldots, 10\}$ and $f: A \rightarrow A$ be defined as $f( k )=\left\{\begin{array}{cl} k +1 & \text { if } k \text { is odd } \\ k & \text { if } k \text { is even }\end{array}\right.$
→Then the number of possible functions $g : A \rightarrow A$ such that $gof=f$ is ...... .
$\int_{}^{} {\frac{1}{{1 + {{\sin }^2}x}}\;dx = } $
→Choose the correct answer from the given four options.
The feasible solution for a LPP shown in Fig. 12.12. Let z = 3x - 4y be objective functio. (Maximum value of Z + Minimum value of Z) is equal to:
The feasible solution for a LPP shown in Fig. 12.12. Let z = 3x - 4y be objective functio. (Maximum value of Z + Minimum value of Z) is equal to:
Area of the region bounded by rays |x| + y = 1 and X - axis is ___________.
→- $\frac{1}{2}$
- $2$
- $1$
- $\frac{1}{4}$
Among the relations $S =\left\{( a , b ): a , b \in R -\{0\}, 2+\frac{ a }{ b } > 0\right\}$ And $T =\left\{( a , b ): a , b \in R , a ^2- b ^2 \in Z \right\}$,
→$\cos[\tan^{-1}\{\sin(\cot^{-1}\text{x})\}]$ is equal to:
→- $\sqrt{\frac{\text{x}^2+2}{\text{x}^3+3}}$
- $\sqrt{\frac{\text{x}^2+2}{\text{x}^2+1}}$
- $\sqrt{\frac{\text{x}^2+1}{\text{x}^2+2}}$
- None of these.
$\int_{ - 3}^3 {\frac{{{x^2}\sin 2x}}{{{x^2} + 1}}\,dx = } $
→Let $f: {R} \rightarrow {R}$ be a continuous function which satisfies $f(x)=\int_0^x f(t) d t .$ Then the value of $f(\ln 5)$ is
→The function, $f (x) = [|x|] -|[x]|$ where $[ x ]$ denotes greatest integer function
→The integrating factor of differential equation $x \frac{d y}{d x}+2 y=x^2$ is ___________ . $(x \neq 0)$
→