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The function (\sec x) is the reciprocal of which function?फलन (\sec x) किसका व्युत्क्रम है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\cos x\)\(\cos x\)
\(\sec x=\frac{1}{\cos x}\), so \(\sec x\) is the reciprocal of \(\cos x\). The reciprocal of \(\tan x\) is \(\cot x\), so option B is not correct. Exam tip: remember the pairs \(\sec\leftrightarrow\cos\), \(\cosec\leftrightarrow\sin\), and \(\cot\leftrightarrow\tan\).\(\sec x=\frac{1}{\cos x}\) होता है, इसलिए \(\sec x\), \(\cos x\) का व्युत्क्रम फलन है। \(\tan x\) का व्युत्क्रम \(\cot x\) होता है, इसलिए विकल्प B सही नहीं है। परीक्षा में याद रखें: \(\sec\leftrightarrow\cos\), \(\cosec\leftrightarrow\sin\), तथा \(\cot\leftrightarrow\tan\)।
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