What is sec-¹x in terms of tan-¹?
Think of it like this: we verify tan-¹√x² - 1 by full calculation: use standard identity, substitute, simplify step by step to reach tan-¹√x² - 1.
Ref: NCERT Mathematics Class XI — Trigonometry
#inverse tangent
3 public questions tagged with this topic.
Filter questions
If sin (tan^-1 110 + cot^-1 x) = 1 then, find the value of x
The trick is we verify 110 by full calculation: use standard identity, substitute, simplify step by step to reach 110.
Ref: NCERT Mathematics Class XI — Trigonometry
Find the set of value of x for which f(x) = tan-¹ x is increasing in
We can see that after simplifying, (-∞,∞) is left. The method is simple: formula → substitution → calculation → answer.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
