If x ∈ [0, 1] , then number of solution (s) of equation 2[cos^{-1}x] + 6[sgn(sinx)] = 3 &nbs

English

Gujarati

Hindi

1.Relation and Function

normal

If $x \in [0, 1]$, then the number of solution $(s)$ of the equation $2[cos^{-1}x] + 6[sgn(sinx)] = 3$ is (where $[.]$ denotes greatest integer function and sgn $(x)$ denotes signum function of $x$)-

A

$1$

B

$0$

C

$2$

D

more than $2$

Solution

Solution is Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

Standard 12

Mathematics

Share

Similar Questions

Suppose $f$ is a function satisfying $f ( x + y )= f ( x )+ f ( y )$ for all $x , y \in N$ and $f (1)=\frac{1}{5}$. If $\sum \limits_{n=1}^m \frac{f(n)}{n(n+1)(n+2)}=\frac{1}{12}$, then $m$ is equal to $……………$.

hard

(JEE MAIN-2023)

The period of function

$f\left( x \right) = {\cos ^2}\left( {\sin x} \right) + {\sin ^2}\left( {\cos x} \right)$ is

normal

If $f(a) = a^2 + a+ 1$ , then number of solutions of equation $f(a^2) = 3f(a)$ is

normal

A real valued function $f(x)$ satisfies the function equation $f(x – y) = f(x)f(y) – f(a – x)f(a + y)$ where a is a given constant and $f(0) = 1$, $f(2a – x)$ is equal to

hard

(AIEEE-2005)

Which of the following is function

normal