Q. 13.9( 25 Votes )

Write the value o

Answer :

To Find: tan–1(√3 ) – cot–1(–√3 )

Formula Used: Range of principal value for tan-1 θ is  and range of principal value for cot-1 θ is (0, π).

Now, 


and,


As the value for cot does not lie in range, we will use the following concept,



Therefore, principal value = π - θ

Therefore, 

 

Thus, 




Hence,

tan–1(√3 ) – cot–1(–√3 ) = -π/2

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Fill in the blankMathematics - Exemplar

Find the principaRD Sharma - Volume 1

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar