The function (\sec x) is the reciprocal of which function?
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Answer and explanation
Correct answer: \(\cos x\)
\(\sec x=\frac{1}{\cos x}\), 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 \(\cot\leftrightarrow\tan\).
Frequently asked questions
What is the correct answer to this question?
\(\cos x\)
Why is this the correct answer?
\(\sec x=\frac{1}{\cos x}\), 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 \(\cot\leftrightarrow\tan\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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