COMEDK · Maths · 23. Inverse Trigonometric Functions
\(\tan \left(\cos ^{-1}\left(\frac{1}{5 \sqrt{2}}\right)-\sin ^{-1}\left(\frac{4}{\sqrt{17}}\right)\right)\) is equal to
- A \(\frac{\sqrt{29}}{3}\)
- B \(\frac{29}{3}\)
- C \(\frac{\sqrt{3}}{29}\)
- D \(\frac{3}{29}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{29}\)
Step-by-step Solution
Detailed explanation
\(\tan \left(\cos ^{-1}\left(\frac{1}{5 \sqrt{2}}\right)-\sin ^{-1}\left(\frac{4}{\sqrt{17}}\right)\right)\) \(=\tan \left(\frac{\pi}{2}-\sin ^{-1}\left(\frac{1}{5 \sqrt{2}}\right)-\sin ^{-1}\left(\frac{4}{\sqrt{17}}\right)\right)\)…
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
- A subset of the additive group of real numbers which is not a sub group, isCOMEDK 2016 Easy
- \(P\) is a point on the line segment joining the points \((3,2,-1)\) and \((6,2,-2)\). If \(x\) coordinate of \(\mathrm{P}\) is 5, then its \(y\) co-ordinate isCOMEDK 2024 Easy
- \(\displaystyle\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^5 x \cos^7 x \ dx =\)COMEDK 2026 Easy
- The value of \(\lambda\) for which the angle between lines
\(\vec{r}=\hat{\imath}+\hat{\jmath}+\hat{k}+p(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})\) and
\(\vec{r}=(1+q) \hat{\imath}+(1+q \lambda) \hat{\jmath}+(1+q) \hat{k}\) is \(\dfrac{\pi}{2}\)COMEDK 2025 Easy - The points on the ellipse \(16 x^2+9 y^2=400\) at which the ordinate decreases at the same rate at which the abscissa increases areCOMEDK 2024 Medium
- A relation \(R\) is defined from \(\{2,3,4\}\) to \(\{3,6,7,10\}\). If \(x R y \Leftrightarrow x\) and \(y\) are co prime numbers. Then range of \(R\) isCOMEDK 2024 Easy
More PYQs from COMEDK
- The ratio of the angle of deviation produced by a thin prism, when it is placed in air to the angle of deviation produced when it is immersed in water of refractive index \(\dfrac{4}{3}\) is:COMEDK 2026 Medium
- The equation \(\dfrac{x^2}{2-\lambda}+\dfrac{y^2}{\lambda-5}+1=0\) represents an ellipse, ifCOMEDK 2025 Medium
- What will be the equation of circle whose centre is \((1,2)\) and touches \(X\) - axis?COMEDK 2021 Medium
- If potential (in volt) in a region is expressed as \(\mathrm{V}(\mathrm{x}, \mathrm{y}, \mathrm{z})=6 \mathrm{xy}-\mathrm{y}+2 \mathrm{yz}\), the electric field (in \(N C^{-1}\)) at point \((1,0,1)\) isCOMEDK 2024 Medium
- The ratio of specific heat capacities at constant pressure to that at constant volume for a given mass of a gas is \(\dfrac{5}{2}\). If the percentage increase in volume of the gas while undergoing an adiabatic change is \(\dfrac{3}{2}\), then the percentage decrease in pressure will be:COMEDK 2025 Medium
- Doping of silicon (Si) with indium (In) leads to the formation ofCOMEDK 2022 Easy