The function (\cosec x) is the reciprocal of which function?
Answer and explanation
Correct answer: \(\sin x\)
The correct answer is \(\sin x\), because \(\cosec x=\frac{1}{\sin x}\). Thus, \(\cosec x\) is the multiplicative reciprocal of \(\sin x\). \(\sec x\) is the reciprocal of \(\cos x\), so it is not correct here. Exam tip: Remember the reciprocal pairs \(\sin\)–\(\cosec\), \(\cos\)–\(\sec\), and \(\tan\)–\(\cot\).
Frequently asked questions
What is the correct answer to this question?
\(\sin x\)
Why is this the correct answer?
The correct answer is \(\sin x\), because \(\cosec x=\frac{1}{\sin x}\). Thus, \(\cosec x\) is the multiplicative reciprocal of \(\sin x\). \(\sec x\) is the reciprocal of \(\cos x\), so it is not correct here. Exam tip: Remember the reciprocal pairs \(\sin\)–\(\cosec\), \(\cos\)–\(\sec\), and \(\tan\)–\(\cot\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
