Evaluate the following: ^ -1 ( 2 3 ) - Vidyadip

Question

Evaluate the following:
$\sec^{-1}\Big(\sec\frac{2\pi}{3}\Big)$

✓

Answer

We have
$\sec^{-1}\Big(\sec\frac{2\pi}{3}\Big)=\frac{2\pi}{3}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" 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

Evaluate $\text{P}(\text{A}\cap\text{B})\ \text{if}\ 2\text{P}(\text{A})=\text{P}(\text{B})=\frac{5}{13}\ \text{and}\ \text{P}(\text{A}|\text{B})=\frac{2}{5}.$

Maximise the function $\text{Z}=11\text{x}+7\text{y},$ subject to the constraints: $\text{x}\leq3,\text{y}\leq2,\text{x}\geq0,\text{y}\geq0.$

If a matrix has 18 elements, what are the possible orders it can have? What if it has 5 elements?

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+5\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)-6\text{y}=\log\text{x}$

Let R be a relation on the set A of ordered pairs of positive integers defined by
(x, y) R (u, v) if and only if xv = yu.
Show that R is an equivalence relation.

Area of a rectangle having vertices A, B, C and D with position vectors $ - \hat i + \frac{1}{2}\hat j + 4\hat k$, $\hat i + \frac{1}{2}\hat j + 4\hat k$, $\hat i - \frac{1}{2}\hat j + 4\hat k$ and $- \hat i - \frac{1}{2}\hat j + 4\hat k$, respectively is

Show that the matrix $A=\left[\begin{array}{rrr} {0} & {1} & {-1} \\ {-1} & {0} & {1} \\ {1} & {-1} & {0} \end{array}\right]$is a skew-symmetric matrix.

In a box there are 4 white, 3 red and 5 black balls. Two balls are drawn, find the probability of getting two red balls.

Find the local maxima and local minima, if any, of the following function. Find also the local maximum and the local minimum values, as the case may be:
$f(x) = x^2$

Construct a $3 \times 4$ matrix $A = [a_{ij}]$ whose element $a_{ij}$ are given by:
$a_{ij} = j$