1. Tardigrade
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  3. Mathematics
  4. If x ∈[0,1] then the number of solution(s) of the equation 2[ cos -1 x]+6[ operatornamesgn( sin x)]=3 is/are [Note: [ k ] denotes greatest integer less than or equal to k and operatornamesgn( x ) denotes signum function of x.]

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Q. If $x \in[0,1]$ then the number of solution(s) of the equation $2\left[\cos ^{-1} x\right]+6[\operatorname{sgn}(\sin x)]=3$ is/are
[Note: $[ k ]$ denotes greatest integer less than or equal to $k$ and $\operatorname{sgn}( x )$ denotes signum function of $x$.]

Inverse Trigonometric Functions

Solution:

Since L.H.S. is an even integer and R.H.S. is an odd integer hence no solution.