Question
Download Solution PDFIf function sgn(ln(sinx)) = 0, then find the value of x.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The real function f: R → R defined by
is called the signum function.
Domain of f = R, Range of f = {1, 0, – 1}
The graph of signum function could be seen below –
CACULATIONS:
Given function is sgn(ln(sinx)) = 0
As we know that signum function is 0, only when x = 0.
∴ ln (sinx) = 0
∴ sin (x) = 1
⇒
Last updated on Jun 18, 2025
->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.