COMEDK · Maths · 23. Inverse Trigonometric Functions
If \(a>b>0\), then the value of \(\tan ^{-1}\left(\frac{a}{b}\right)+\tan ^{-1}\left(\frac{a+b}{a-b}\right)\) depends on
- A neither \(a\) nor \(b\)
- B \(a\) and not \(b\)
- C \(b\) and not \(a\)
- D both \(a\) and \(b\)
Answer & Solution
Correct Answer
(A) neither \(a\) nor \(b\)
Step-by-step Solution
Detailed explanation
We have, \(\tan ^{-1}\left(\frac{a}{b}\right)+\tan ^{-1}\left(\frac{a+b}{a-b}\right)\) \(=\tan ^{-1}\left[\frac{\frac{a}{b}+\frac{a+b}{a-b}}{1-\left(\frac{a}{b}\right)\left(\frac{a+b}{a-b}\right)}\right]\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The solution of the differential equation \(\left(\dfrac{d y}{d x}\right) \tan y=\sin (x+y)+\sin (x-y)\) isCOMEDK 2023 Medium
- If the coefficients of \(x^2\) and \(x^3\) in the expansion of \((3 + kx)^9\) are equal, then the value of '\(k\)' isCOMEDK 2026 Easy
- Find \({ }^n C_{21}\), if \({ }^n C_{10}={ }^n C_{12}\)COMEDK 2023 Easy
- If \(x=\frac{1-t}{1+t}, y=\frac{2 t}{1+t}\), then \(\frac{d^{2} y}{d x^{2}}=\)COMEDK 2012 Easy
- The amplitude of \((1+i)^{5}\) isCOMEDK 2020 Easy
- The locus of a point which moves such that the sum of its distances from two fixed points is a constant isCOMEDK 2019 Easy
More PYQs from COMEDK
- A reaction is spontaneous at all temperature, whenCOMEDK 2019 Medium
- Potassium dichromate can be converted to potassitun chromate by addingCOMEDK 2019 Medium
- Which of the following solutions will exhibit highest boiling point?COMEDK 2018 Hard
- A charged particle moves in a uniform magnetic field. The velocity of the particle at some instant makes an acute angle with the magnetic field. The path of the particle will beCOMEDK 2015 Easy
- A number \(n\) is choosen at random from \(S=\{1,2\), \(3, \ldots, 100\}\). Let \(A=\{n \in S: n\) is a perfect square \(\}, B=\{n \in S: n\) is odd number \(\}\) and \(C=\{n \in S: n\) is a even prime number \(\}\) then, correct order of their probability isCOMEDK 2024 Easy
- In an experiment with sonometer a tuning fork of frequency \(256 \mathrm{~Hz}\) resonates with a length of \(25 \mathrm{~cm}\) and another tuning fork resonates with a length of \(16 \mathrm{~cm}\). Tension of the string remaining constant the frequency of the second tuning fork isCOMEDK 2017 Medium