AP EAMCET · Maths · Inverse Trigonometric Functions
The number of solutions of the equation \(2 \operatorname{Cos}^{-1} x+\operatorname{Sin}^{-1} x=\frac{11 \pi}{6}\) is
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- For \(n \in N\), if \(I_n=\int \frac{\sin n x}{\sin x} d x=\frac{2}{n-1} \sin (n-1) x+I_{n-2}\) and \(\int_0^\pi \frac{\sin n x}{\sin x} d x=\frac{k \pi}{2}\), then \(k=\)AP EAMCET 2022 Medium
- If the coefficients of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively, then their arithmetic means are respectivelyAP EAMCET 2017 Medium
- \(\cos \left[\lim _{x \rightarrow \infty} \frac{2 \pi|x|+\pi x}{|x|-3 x}+\lim _{x \rightarrow 0} \frac{\cos \left(\frac{\pi}{2} \cos ^2 x\right)}{x^2}\right]\)AP EAMCET 2018 Medium
- If \((3+i)\) is a root of \(x^2+a x+b=0\) then \(a=\)AP EAMCET 2024 Easy
- A three digit number \(n\) is such that the last two digits of it are equal and differ from the first. The number of such \(n\) 's isAP EAMCET 2005 Easy
- \(E_1: a+b+c=0, \quad\) if 1 is a root of \(a x^2+b x+c=0, \quad E_2: b^2-a^2=2 a c\), if \(\sin \theta\), \(\cos \theta\) are the roots of \(a x^2+b x+c=0\) Which of the following is true?AP EAMCET 2005 Medium
More PYQs from AP EAMCET
- Observe the following reactions
I. \(\quad \mathrm{CaCO}_3(\mathrm{~s}) \rightarrow \mathrm{CaO}(\mathrm{s})+\mathrm{CO}_2(\mathrm{~g})\)
II. \(\quad \mathrm{Cl}_2(\mathrm{~g}) \rightarrow 2 \mathrm{Cl}(\mathrm{g})\)
III. \(\mathrm{H}_2 \mathrm{O}(1) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{s})\)
Identify the reactions in which entropy increasesAP EAMCET 2024 Medium - Two sources \(A\) and \(B\) are producing notes of frequency \(680 \mathrm{~Hz}\). A listener moves from \(A\) to \(B\) with a constant velocity \(v\). if the speed of sound in air is \(340 \mathrm{~ms}^{-1}\), the value of \(y\) so that he hears 10 beats per second isAP EAMCET 2019 Medium
- If pairs of straight lines \(x^2-2 p x y-y^2=0\) and \(x^2-2 q x y-y^2=0\) be such that each pair bisects the angle between the other pair, thenAP EAMCET 2020 Medium
- A real gas would be most likely to obey the ideal gas laws atAP EAMCET 2021 Easy
- A steel ball of radius \(0.05 \mathrm{~cm}\) and density \(7.8 \mathrm{~g} \mathrm{~cm}^{-3}\) is dropped into a tank of water. The terminal velocity of the steel ball is
(Density of water \(=1 \mathrm{~g} \mathrm{~cm}^{-3}\) and viscosity of water \(=\) \(0.001 \mathrm{~Pa} \mathrm{~s}\) )AP EAMCET 2023 Medium - At the moment \(\mathrm{t}=0\), a time dependent force \(\mathrm{F}=\) at (where a is constant equal to \(1 \mathrm{Ns}^{-1}\) ) is applied to a body of mass \(1 \mathrm{~kg}\) resting on a smooth horizontal plane as shown in the figure. If the direction of this force makes an angle \(45^{\circ}\) with the horizontal, then the velocity of the body at the moment it leaves the plane is
(acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )
AP EAMCET 2022 Easy