Question

The number of solution(s) of the equation sgn(sin^(-1)x)= {2x} is (where {.} represents the fractional part function)​

Answer 1

Answer:

Step-by-step explanation:

fractional part function and sgn(x) is dignum function) ... The number of solutions of the equation `tan^(-1)(4. play. 3:29 ... Consider the function f(x) = {x+2} [cos 2x ...

Answer 2

Answer:

The answer is 1

sgn{x} = Ι1 - x Ι

Step-by-step explanation:

Signum function is defined as :

 sgn(x) = {-1    x < 0

               0     x = 0

                1     x > 0}

       & 0 ≤ {x} < 1

• sgn{x} = 0 if {x} ∈ integer
• sgn{x} = 1 if x ∉ integer
• Ι x Ι  = 0 if x ∈ integer
• Ι x Ι = 1 if x ∉ integer

for RHS = LHS

at x = 1    x → integer

∵these both cases are true only if x = 1

∴hence the answer is 1

Signum function: Signum capability decides the indication of the genuine worth capability, and characteristics +1 for positive info upsides of the capability, and traits - 1 for negative information upsides of the capability. The signum capability has various applications in physical science, designing, and is unmistakably utilized in Artificial Intelligence, for predictions.The signum capability basically offers the hint for the given upsides of x. For x worth more noteworthy than nothing, the worth of the result is +1, for x worth lesser than nothing, the worth of the result is - 1, and for x worth equivalent to nothing, the result is equivalent to nothing. The signum capability can be characterized and perceived from the underneath articulation.

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