cosec-inverse se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
3 questions tagged with cosec-inverse.
What is the domain of \(cosec^{-1}(x-2)\)?
A. (\(-\infty,1]\cup[3,\infty\))
\(cosec^{-1}(x-2)\) के लिए \(|x-2|\ge1\) चाहिए। इससे \(x\le1\) या \(x\ge3\) मिलता है। / For \(cosec^{-1}(x-2)\), we need \(|x-2|\ge1\). This gives \(x\le1\) or \(x\ge3\).
Login to save your score, XP, coins and progress.
On which set is \(cosec^{-1}x\) defined?
B. (\(-\infty,-1]\cup[1,\infty\))
\(cosec y=\frac{1}{sin y}\), इसलिए \(cosec y\) के values \(|x|\ge1\) होते हैं। domain याद करते समय reciprocal nature देखें। / \(cosec y=\frac{1}{sin y}\), so values of \(cosec y\) satisfy \(|x|\ge1\). Use the reciprocal nature to remember the domain.
Login to save your score, XP, coins and progress.
What is the principal value of \(cosec^{-1}2\)?
A. \(\frac{\pi}{6}\)
\(cosec\frac{\pi}{6}=2\), इसलिए मुख्य मान \(\frac{\pi}{6}\) है। \(cosec^{-1}x\) को \(\sin^{-1}\frac{1}{x}\) से जोड़कर सोचें। / \(cosec\frac{\pi}{6}=2\), so the principal value is \(\frac{\pi}{6}\). Think of \(cosec^{-1}x\) through \(\sin^{-1}\frac{1}{x}\).
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.