( ( ^ -1 2-3 4 + ^ -1 -12 4 + ^ 2 ) ) is: - Vidyadip

MCQ

$\Bigg(\cot\Bigg(\sin^{-1}\sqrt{\frac{2-\sqrt{3}}{4}}+\cos^{-1}\frac{\sqrt{-12}}{4}+\sec^{\sqrt{2}}\Bigg)\Bigg)$ is:

✓
$0$
B
$ 2\pi $
C
$ 3\pi $
D
None of these

✓

Answer

Correct option: A.

$0$

The above expression can be rewritten as
$\sin^{-1}(\cot(15^{0}+30^{0}+45^{0}))$
$ =\sin^{-1}(\cot(90^{0}))$
$ =\sin^{-1}(0)$
$ = 0$

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 "M.C.Q (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

The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is $3$ units and after $5$ seconds, it becomes $7$ units, then its radius after $9$ seconds is

The relation $R$ defined on the set $A = \{1, 2, 3, 4, 5\}$ by $R = \{(a, b): |a^2 - b^2| < 16\}$ is given by:

If $a, b, c$ are mutually perpendicular unit vectors, then $|a + b + c|\,\, = $

The area bounded by the y-axis, $\text{y}=\cos\text{x}$ and $\text{y}=\sin\text{x}$ when $0\leq\text{x}\leq\frac{\pi}{2}$ is:

Let $R$ be a relation from $A = \{2,3,4,5\}$ to $B = \{3,6,7,10\}$ defined by $R = \{(a,b) |$ $a$ divides $b, a \in A, b \in B\}$, then number of elements in $R^{-1}$ will be-

The differential equation satisfied by $\text{ax}^{2}+\text{by}^{2}=1$ is :

$\left| {\,\begin{array}{*{20}{c}}0&{p - q}&{p - r}\\{q - p}&0&{q - r}\\{r - p}&{r - q}&0\end{array}\,} \right| = $

Linear programming used to optimize mathematical procedure and is:

Choose the correct answer from the given four options: The interval on which the function $f(x)=2 x^3+9 x^2+12 x-1$ is decreasing is$:\ \quad$

The value of the integral $\int_{ - \pi /4}^{\pi /4} {{{\sin }^{ - 4}}x} \,dx$ is