Advertisements
Advertisements
Question
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
Sum
Advertisements
Solution
We have `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
= `tan^-1(tan(- pi/6)) + cot^-1(cot pi/3) + tan^-1(-1)`
= `- pi/6 + pi/3 + (- pi/4)`
= `-pi/12`
shaalaa.com
Is there an error in this question or solution?
