AP EAMCET · Maths · Inverse Trigonometric Functions
\(\tanh ^{-1}\left(\frac{1}{2}\right)+\operatorname{coth}^{-1}(2)\) is equal to
- A \(\frac{1}{2} \log 3\)
- B \(\frac{1}{2} \log 6\)
- C \(\frac{1}{2} \log 12\)
- D \(\log 3\)
Answer & Solution
Correct Answer
(D) \(\log 3\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \tanh ^{-1}\left(\frac{1}{2}\right)+\operatorname{coth}^{-1}(2) \\ & \Rightarrow \tanh ^{-1}\left(\frac{1}{2}\right)+\tanh ^{-1}\left(\frac{1}{2}\right) \\ & \Rightarrow 2 \tanh ^{-1}\left(\frac{1}{2}\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
- If \(S\) is the set of all real values of ' \(a\) ' such that a plane passing through the points \(\left(-\mathrm{a}^2, 1,1\right),\left(1,-\mathrm{a}^2, 1\right)\), \(\left(1,1,-\mathrm{a}^2\right)\) also passes through the point \((-1,-1,1)\), then \(\mathrm{S}=\)AP EAMCET 2023 Medium
- If \(a\) is the determinant of the adjoint of the matrix \(\left[\begin{array}{lll}1 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 3\end{array}\right]\) and \(b\) is the determinant of the inverse of the matrix \(\left[\begin{array}{ccc}1 & 2 & 3 \\ 4 & -3 & -1 \\ 2 & 1 & -4\end{array}\right]\) then \(\frac{\mathrm{b}+1}{18 \mathrm{~b}}=\)AP EAMCET 2025 Medium
- The four distinct points \((0,0),(2,0),(0,-2)\) and \((k,-2)\) are concyclic, if \(k\) is equal toAP EAMCET 2002 Easy
- If the pole of the line \(x+2 b y-5=0\) with respect to the circle \(S \equiv x^2+y^2-4 x-6 y+4=0\) lies on the line \(x+b y+1=0\), then the polar of the point \((b,-b)\) with respect to the circle \(S=0\) isAP EAMCET 2025 Medium
- If \(n\) is a positive integer, then \((1+i \sqrt{3})^n+(1-i \sqrt{3})^n\) is equal toAP EAMCET 2021 Medium
- \(\sum_{k=1}^6 \sin \left(\frac{2 \pi k}{7}\right)-i \cos \left(\frac{2 \pi k}{7}\right)=\)AP EAMCET 2022 Hard
More PYQs from AP EAMCET
- A horizontal board is performing simple harmonic oscillations horizontally with an amplitude 0.3 m and a period of 4 s . The minimum coefficient of friction between a heavy body placed on the board if the body is not to slip is.AP EAMCET 2024 Hard
- If [.] here denotes the greatest integer function, \(\lim _{x \rightarrow 0} x^7\left[\frac{1}{x^3}\right]\) is equal toAP EAMCET 2021 Medium
- The coefficient of \(x^{10}\) in the expansion of \(\left(1+x^2-x^3\right)^8\) isAP EAMCET 2017 Easy
- The lines \(y=2 x+\sqrt{76}\) and \(2 y+x=8\) touch the ellipse \(\frac{x^2}{16}+\frac{y^2}{12}=1\). If the point of intersection of these two lines lie on a circle. whose centre coincides with the centre of that ellipse, then the equation of that circle isAP EAMCET 2017 Hard
- The number of linear and crosslinked polymers in the following respectively are
Novolac, Nylon 6,6, Bakelite, PVC, melamineAP EAMCET 2025 Medium - Which of the following are carbonate ores ?
I. Siderite
II. Kaolinite
III. Calamine
IV. SphaleriteAP EAMCET 2025 Easy