AP EAMCET · Maths · Inverse Trigonometric Functions
\(\begin{aligned} \cos ^{-1}\left(\frac{-1}{2}\right)-2 \sin ^{-1}\left(\frac{1}{2}\right) & +3 \cos ^{-1}\left(\frac{-1}{\sqrt{2}}\right) \\ & -4 \tan ^{-1}(-1) \text { equals }\end{aligned}\)
- A \(\frac{19 \pi}{12}\)
- B \(\frac{35 \pi}{12}\)
- C \(\frac{47 \pi}{12}\)
- D \(\frac{43 \pi}{12}\)
Answer & Solution
Correct Answer
(D) \(\frac{43 \pi}{12}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \cos ^{-1}\left(-\frac{1}{2}\right)-2 \sin ^{-1}\left(\frac{1}{2}\right)+3 \cos ^{-1}\left(\begin{array}{r}\left.-\frac{1}{\sqrt{2}}\right) \\ -4 \tan ^{-1}(-1)\end{array}\right. \\ & =\pi-\cos…
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 the difference of the roots of the equation \(x^2-7 x+10=0\) is same as the difference of the roots of the equation \(\mathrm{x}^2-17 \mathrm{x}+\mathrm{k}=0\), then a divisor of k isAP EAMCET 2025 Medium
- Among the following functions defined on \(\mathbb{R}\) into \(\mathbb{R}\), the constant function isAP EAMCET 2017 Easy
- The particular solution of the differential equation \(\left(1+y^2\right) d x-x y d y=0, y(1)=0\) representsAP EAMCET 2023 Easy
- The set of real values of \(\lambda\) for which the vectors \(\lambda \hat{i}-3 \hat{j}+5 \hat{k}\) and \(2 \lambda \hat{i}-\lambda \hat{j}+\hat{k}\) are perpendicular to each other isAP EAMCET 2022 Easy
- If \(\mathbf{a} \neq \mathbf{0}, \mathbf{b} \neq \mathbf{0}, \mathbf{c} \neq 0, \mathbf{a} \times \mathbf{b}=\mathbf{0}\) and \(\mathbf{b} \times \mathbf{c}=0\), then \(\mathbf{a} \times \mathbf{c}\) is equal toAP EAMCET 2013 Easy
- The point of intersection of the pair of lines \(x^2+x y+2 y^2-3 x+2 y+4=0\) isAP EAMCET 2020 Easy
More PYQs from AP EAMCET
- If \(u=\sin ^{-1}\left(\frac{x^2+y^2}{x+y}\right)\) then \(x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}\) equal to :AP EAMCET 2006 Medium
- Curdling of milk is caused due to the formation of which of the following acids by the bacteria?AP EAMCET 2022 Easy
- In the circuit given below, if the bulb is to glow with maximum intensity, the value of ' \(R\) ' is
(neglect internal resistance of the cell)
AP EAMCET 2023 Medium - If \(\tan \mathrm{h} x=\operatorname{sech} y=\frac{3}{5}\) and \(e^{\mathrm{x}+\mathrm{y}}\) is an integer, then \(e^{\mathrm{x}+\mathrm{y}}=\)AP EAMCET 2024 Medium
- If a complex number is such that , thenAP EAMCET 2019 Easy
- A wire loop of irregular shape carrying current is placed in an external magnetic field. If the wire is flexible, the shape of the loop changes toAP EAMCET 2023 Easy