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Which of the following trigonometric functions is odd and has fundamental period \(2\pi\)?निम्नलिखित में से कौन-सा त्रिकोणमितीय फलन विषम है और जिसका मूल आवर्त \(2\pi\) है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sin x\)\(\sin x\)
Since \(\sin(-x)=-\sin x\), \(\sin x\) is an odd function, and its fundamental period is \(2\pi\). Although \(\tan x\) is also odd, its fundamental period is \(\pi\). In exams, verify each condition separately.\(\sin(-x)=-\sin x\), इसलिए \(\sin x\) विषम फलन है और इसका मूल आवर्त \(2\pi\) है। \(\tan x\) विषम तो है, पर उसका मूल आवर्त \(\pi\) होता है। परीक्षा में दोनों शर्तों को अलग-अलग जाँचें।
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