tan−¹√3+sec−¹2–cos−¹1 is equal to ________
Understanding this is easy: complete solution: write formula, plug data, do arithmetic. Final value matches 2π/3. Simple and accurate.
Ref: NCERT Mathematics Class XI — Trigonometry
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What is the derivative of tan-¹ x with respect to cot-¹ x ?
Understanding this is easy: using formula we get -1. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get -1.
Ref: NCERT Mathematics Class XI — Trigonometry
The principal value of tan^-1(-3) + 2 sec^-1(2/ 3) is
Notice that using formula we get 0. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 0.
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
