placeholder image to represent content

12MT-2/Inverse Trigonometric Functions/Ch-2/23102021

Quiz by Vijay Kumar

Central Board of Secondary Education

Feel free to use or edit a copy

includes Teacher and Student dashboards

Measure skills
from any curriculum

Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.

With a free account, teachers can

edit the questions
save a copy for later
start a class game
automatically assign follow-up activities based on students’ scores
assign as homework
share a link with colleagues
print as a bubble sheet

Q 1/10
Score 0
1. What is Principal value branch for sin^-1x ?
29
( $-\frac{\pi}{2}$ $\frac{\pi}{2}$ )
[ $-\frac{\pi}{2}$ . $\frac{\pi}{2}$ ]
[ 0, $\pi$ ]
[ $-\frac{3\pi}{2}$ $\frac{3\pi}{2}$ ]

Our brand new solo games combine with your quiz, on the same screen

Correct quiz answers unlock more play!

New Quizalize solo game modes

10 questions

Show answers

Q1
1. What is Principal value branch for sin^-1x ?
( $-\frac{\pi}{2}$ $\frac{\pi}{2}$ )
[ $-\frac{\pi}{2}$ . $\frac{\pi}{2}$ ]
[ 0, $\pi$ ]
[ $-\frac{3\pi}{2}$ $\frac{3\pi}{2}$ ]
30s
Q2
2. What is the range of cosec ^-1x ?
[   $-\frac{\pi}{2}$ , $\frac{\pi}{2}$ ]
(   $-\frac{\pi}{2}$ $\frac{\pi}{2}$ ) - {0}
[   $-\frac{\pi}{2}$ . $\frac{\pi}{2}$ ] - {0}
[ $-\frac{3\pi}{2}$ $\frac{3\pi}{2}$ ] - {0}
30s
Q3
3. sin ^-1( - x ) = ?
sin ^-1( x ) , x   $\in$ [ - 1 , 1 ]
$\pi$ - sin ^-1( - x ) , x   $\in$ [ - 1 , 1 ]
- sin ^-1( x ) , x $\in$ [ - 1 , 1 ]
$\pi$ - sin ^-1( x ) , x   $\in$ [ - 1 , 1 ]
30s
Q4
4. 2 tan ^-1x = ?
cos ^-1 $\frac{1-x^2}{1+x^2}$ , |x| $\ge$ 0
tan ^-1 $\frac{2x}{1-x^2}$ -1 < x <1
All
sin ^-1 $\frac{2x}{1+x^2}$ , |x| $\le$ 1
30s
Q5
5. Principal values of tan^-1( - 1 )
$-\frac{\pi}{3}$
$-\frac{\pi}{4}$
$-\frac{\pi}{2}$
$\frac{\pi}{4}$
120s
Q6
6. if sin^-1x = y , then
y $\in$ ( 0 , $\pi$ )
y $\in$ [   $-\frac{\pi}{2}$ . $\frac{\pi}{2}$ ]
   $-\frac{\pi}{2}$ < y < $\frac{\pi}{2}$
0 $\le$ y   $\le$ $\pi$
30s
Q7
120s
Q8
120s
Q9
120s
Q10
120s

Teachers give this quiz to your class