logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Model Papers
0 votes

Write the principal value of \( cot^{-1} \{ cot \bigg( -\frac{\pi}{4} \bigg) \} \)

Can you answer this question?
 
 

1 Answer

0 votes
Ans:

\[\frac{3\pi}{4}\]

Principal interval of cot is \((0.\pi)\)  and \(-\frac{\pi}{4}\notin\:(0,\pi)\)

We know that cot\(-\frac{\pi}{4}=cot(\pi-\frac{\pi}{4})=cot\frac{3\pi}{4}\)

\(\Rightarrow\:cot^{-1}cot-\frac{\pi}{4}=cot^{-1}cot\frac{3\pi}{4}=\frac{3\pi}{4}\)

which is in the principal interval of cot.
answered Feb 13, 2013 by rvidyagovindarajan_1
edited Mar 19, 2013 by rvidyagovindarajan_1
 
Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...