AP EAMCET · Maths · Inverse Trigonometric Functions
What is the value of \(\sin ^{-1} \frac{12}{13}+\cos ^{-1} \frac{4}{5}+\tan ^{-1} \frac{63}{16}\) is equal to
- A \(\pi\)
- B \(\frac{\pi}{2}\)
- C \(\frac{\pi}{6}\)
- D \(\frac{3\pi}{4}\)
Answer & Solution
Correct Answer
(A) \(\pi\)
Step-by-step Solution
Detailed explanation
\(\sin ^{-1}\left(\frac{12}{13}\right)+\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{63}{16}\right)\)…
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
- In \(\triangle \mathrm{ABC}, \frac{\mathrm{r}_1-\mathrm{r}}{\mathrm{a}}+\frac{\mathrm{r}_2-\mathrm{r}}{\mathrm{b}}=\)AP EAMCET 2023 Hard
- If the points \((1,2)\) and \((3,4)\) lie on the same side of the straight line \(3 x-5 y+a=0\), then \(a\) lies in the setAP EAMCET 2013 Medium
- \(\int \frac{x^4+1}{x^6+1} d x=\)AP EAMCET 2024 Medium
- A container is the shape of an inverted cone. Its height is \(6 \mathrm{~m}\) and radius is \(4 \mathrm{~m}\) at the top. If it is filled with water at the rate of \(3 \mathrm{~m}^3 / \mathrm{min}\) then the rate of change of height of water (in \(\mathrm{mt} / \mathrm{min}\) ) when the water level is \(3 \mathrm{~m}\), isAP EAMCET 2017 Medium
- At \(\mathrm{x}=0, f(x)=\cos x-1+\frac{x^2}{2}-\frac{x^3}{3}\)AP EAMCET 2022 Easy
- If the equation of a curve is transformed to by the rotation of the coordinate axes about the origin through an angle in the positive direction then the equation of the curve , before the transformation isAP EAMCET 2019 Medium
More PYQs from AP EAMCET
- Which of the allotropic forms of carbon is aromatic in nature?AP EAMCET 2024 Medium
- The slope of the normal to the curve \(y=\frac{x}{x^2+1}\) at \(x=-4\) isAP EAMCET 2021 Easy
- In \(\triangle \mathrm{ABC}\), if \(\mathrm{AB}: \mathrm{BC}: \mathrm{CA}=6: 4: 5\), then \(\mathrm{R}: r=\)AP EAMCET 2024 Easy
- Among the following, the physical quantity having the dimensions of Young's modulus isAP EAMCET 2025 Easy
- If the RMS speed of nitrogen at a certain temperature is \(3000 \mathrm{~ms}^{-1}\), the approximate kinetic energy of one mole of nitrogen at that temperature in \(\mathrm{kJ}\) is (assume nitrogen as ideal gas)AP EAMCET 2018 Medium
- \(\lim _{n \rightarrow \infty}\left[\begin{array}{l}\frac{1}{n}+\frac{n^2}{(n+1)^3}+\frac{n^2}{(n+2)^3}+\frac{n^2}{(n+3)^3} \\ +\ldots+\frac{1}{125 n}\end{array}\right]=\)AP EAMCET 2019 Hard