TS EAMCET · Maths · Inverse Trigonometric Functions
\(\sin ^{-1}\left(\frac{12}{13}\right)+\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{63}{16}\right)=\)
- A \(2 \pi\)
- B \(\pi\)
- C 0
- D \(-\pi\)
Answer & Solution
Correct Answer
(B) \(\pi\)
Step-by-step Solution
Detailed explanation
We have, \(\begin{aligned} & \sin ^{-1}\left(\frac{12}{13}\right)+\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{63}{16}\right) \\ & \text {Let } \theta=\sin ^{-1}\left(\frac{12}{13}\right) \Rightarrow \sin \theta=\frac{12}{13} \end{aligned}\)…
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
- Assertion \(\int_{-a}^a f(x) d x=\int_0^a(f(x)+f(-x)) d x\) Reason (R) \(\int_a^b f(x) d x=\int_{g(a)}^{g(b)} f(g(u)) g^{\prime}(u) d u\) The correct option among the following isTS EAMCET 2020 Easy
- If the mean and variance of a binomial distribution are and respectively, thenTS EAMCET 2022 Medium
- If \(Q\) and \(R\) are the images of the point \(P(2,3)\) with respect to the lines \(x-y+2=0\) and \(2 x+y-2=0\) respectively, then \(Q\) and \(R\) lie onTS EAMCET 2024 Easy
- The product of the perpendicular distances from any point on the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) to its asymptotes isTS EAMCET 2010 Medium
- If \(f(x)=|x|+|\sin x|\) for \(x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), then its left hand derivative at \(x=0\) isTS EAMCET 2011 Easy
- If and thenTS EAMCET 2019 Hard
More PYQs from TS EAMCET
- Two sides of a square are along the lines \(x=-5\) and \(y=4\). The point of intersection of the diagonals is \((3,-4)\). The point of intersection of the tangents drawn to the circumcircle of the square at the two consecutive vertices lying on \(x=-5\) isTS EAMCET 2022 Hard
- If \(\sin \mathrm{A}=-\frac{24}{25}, \cos \mathrm{~B}=\frac{15}{17}, \mathrm{~A}\) does not belong to \(4^{\text {th }}\) quadrant and B does not belong to \(1^{\text {st }}\) quadrant then \((\mathrm{A}+\mathrm{B})\) lies in the quadrantTS EAMCET 2025 Medium
- The number of unpaired electrons in \(\mathrm{Co}^{2+}\), isTS EAMCET 2021 Easy
- \(\mathrm{O}(0,0)\) and \(\mathrm{A}(1,0)\) are centres of two unit circles \(\mathrm{C}_1\) and \(\mathrm{C}_2\) respectively. \(\mathrm{C}_3\) is also a unit circle having its centre above \(\mathrm{X}\)-axis and passing through \(\mathrm{O}\) and \(\mathrm{A}\). The equation of the common tangent to \(\mathrm{C}_1\) and \(\mathrm{C}_3\) which does not intersect the circle \(\mathrm{C}_2\) isTS EAMCET 2022 Easy
- The range of the function \(f(x)=-\sqrt{-x^2-6 x-5}\) isTS EAMCET 2018 Easy
- The number of moles of oxalate ions oxidized by one mole of permanganate ions in acidic medium isTS EAMCET 2025 Medium