Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 12MathematicsInverse Trigonometric FunctionsPrincipal value branchEasy
0 reads0 ratings0 helpful

What is the principal value of \(cot^{-1}\left(-1\right)\)?

Answer and explanation

Correct answer: \(\frac{3\pi}{4}\)

Since \(cot\frac{3\pi}{4}=-1\) and \(frac{3\pi}{4}\in\left(0,\pi\right)\), the principal value is \(frac{3\pi}{4}\).

Related tags

Inverse Trigonometric FunctionsStandard ValuesArccotPrincipal Value BranchMathematicsClass 12 Mcq
सुधार सुझाएँ / Earn

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1What is the principal value range of \(\sin^{-1}x\)?
  2. 2What is the principal value range of \(\cos^{-1}x\)?
  3. 3Which is the principal value range of \(\tan^{-1}x\)?
  4. 4What is the principal value range of \(\cot^{-1}x\)?
  5. 5What is the value of \(\sin^{-1}0\)?
  6. 6What is the value of \(\sin^{-1}\left(-1\right)\)?
  7. 7Find the value of \(\cos^{-1}1\).
  8. 8Find the principal value of \(\cos^{-1}(1)\).
  9. 9What is the value of \(\cos^{-1}(-1)\)?
  10. 10What is the value of \(\tan^{-1}0\)?
Found an issue? Help improve this questionMy reports and replies

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.