Download App

INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS2 Marks
Question
Find the domain of $\text{f(x)}=\cos^{-1}\text{x}=\cos\text{x}$
✓

Answer

For $\cos^{-1}\text{x} $ to be defined. $-1\leq\text{x}\leq1$ Now, $\cos\text{x}$ is defined for all real values. So, domain of $\cos\text{x}$ is R.Domain of f(x) is $\text{R}\cap[-1,1]=[-1,1].$

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 "2 Marks Questions" from INVERSE TRIGNOMETRIC FUNCTIONS→INVERSE TRIGNOMETRIC FUNCTIONS — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

An urn contains 5 red and 2 black balls. Two balls are randomly drawn. Let X represent the number of black balls. What are the possible values of X? Is X a random variable ?
→
Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the vector $3\hat i + 2\hat j - 2\hat k$.
→
Find the values of x, y and z from the following equations:$\begin{bmatrix}4 & 3 \\ \text x & 5 \end{bmatrix}=\begin{bmatrix}\text y& \text z\\1 & 5 \end{bmatrix} $
→
If $\text{A}=\begin{bmatrix}9&1\\7&8\end{bmatrix},\text{ B}=\begin{bmatrix}1&5\\7&12\end{bmatrix},$ find matrix C such that 5A + 3B + 2C is a null matrix.
→
Find value of k if area of triangle is 4 sq. units and vertices are :(k ,0), (4, 0), (0,2).
→
If A is a square matrix such that $\text{A (adj A)}=\begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix},$ then write the value of $|adj\  A|$.
→
Three shopkeepers A, B and C go to a store to buy stationary. A purchases 12 dozen notebooks, 5 dozen pens and 6 dozen pencils. B purchases 10 dozen notebooks, 6 dozen pens and 7 dozen pencils. Cpurchases 11 dozen notebooks, 13 dozen pens and 8 dozen pencils. A notebook costs 40 paise, a pen costs Rs. 1.25 and a pencil costs 35 paise. Use matrix multiplication to calculate each individual's bill.
→
Verify the following:
$\int\frac{2\text{x}+3}{\text{x}^2+3\text{x}}\text{dx}=\log\big|\text{x}^2+3\text{x}\big|+\text{c}$
→
Which of the following distributions of a random variable X are the probability distributions?
X: 0 1 2 3 4
P(X): 0.1 0.5 0.2 0.1 0.1
→
Prove that if $A$ and $B$ are two independent events, then $A ^{\prime}$ and $B ^{\prime}$ will also be independent.
→