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Which of the following trigonometric functions is an even function?निम्नलिखित में से कौन-सा त्रिकोणमितीय फलन सम फलन है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\cos x\)\(\cos x\)
Since \(\cos(-x)=\cos x\), \(\cos x\) is an even function. In contrast, \(\sin(-x)=-\sin x\), so \(\sin x\), \(\tan x\), and \(\cot x\) are odd. Exam tip: test parity by replacing \(x\) with \(-x\).\(\cos(-x)=\cos x\) होने के कारण \(\cos x\) सम फलन है। जबकि \(\sin(-x)=-\sin x\), इसलिए \(\sin x\), \(\tan x\) और \(\cot x\) विषम हैं। परीक्षा में \(f(-x)\) लिखकर पहचान करें।
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