Download App

INVERSE TRIGNOMETRIC FUNCTIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsINVERSE TRIGNOMETRIC FUNCTIONS2 Marks
Question
Find the domain of the following functions:
$\text{f(x)}=\sin^{-1}\text{x}^2$
✓

Answer

To the domain of $sin^{-1}y$ which is $[-1, 1]$
$\therefore x^2 \in [0, 1]$ as $x^2$ can, not be negative
$\because$ x $\in$ [-1, 1]
Hence, the domaine is [-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

The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly expenditures are in the ratio 5 : 7. If each saves Rs. 15,000 per month, find their monthly incomes using matrix method. This problem reflects which value?
→
Integrate the function: $\frac{{\sin x}}{{1 + \cos x}}$
→
If the tangent line at a point (x, y) on the curve y = f(x) is parallel to x-axis, then write the value of $\Big(\frac{\text{dy}}{\text{dx}}\Big).$
→
Evaluate: $\int \tan ^3 x \sec ^3 x d x$
→
Prove that the function defined by f(x) = tan x is a continuous function.
→
A die is thrown three times. Let X be 'the number of twos seen'. Find the expectation of X.
→
If A is an m × n matrix and B is n × p matrix does AB exist? If yes, write its order.
→
The probability distribution function oif a random variable X is given by
$X_i$ 0 1 2
$P_i$ $3c^3$ $4c - 10c^2$ $5c - 1$
Where c > 0
Find: $\text{P}(1<\text{X}\leq2)$
→
Evaluate the following integrals:
$\int\cot^{-1}\Big(\frac{\sin2\text{x}}{1-\cos2\text{x}}\Big)\text{dx}$
→
Find the approximate value of $(1.999)^5.$
→