KCET · Maths · Mathematical Reasoning
The domain of the function \( f(x)=\sqrt{\cos x} \) is
- A \( \left[0, \frac{\pi}{2}\right] \)
- B \( \left[0, \frac{\pi}{2}\right] \cup\left[\frac{3 \pi}{2}, 2 \pi\right] \)
- C \( \left[\frac{3 \pi}{2}, 2 \pi\right] \)
- D \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
Answer & Solution
Correct Answer
(D) \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \)
Step-by-step Solution
Detailed explanation
For \( f(x) \) to be defined, \( \cos x \ge 0 \). Therefore, the domain is \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right] \).
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
- If \( A \) is a matrix of order \( 3 \), such that \( A(\operatorname{adj} A)=10 I \), then \( |\operatorname{adj} A|= \)KCET 2014 Medium
- The area bounded by the curve \(x=4-y^{2}\) and the \(Y\)-axis isKCET 2007 Hard
- Solve for \( x \)
\[
\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x, x>0
\]KCET 2015 Easy - If \(\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}\) and \(\overrightarrow{\mathbf{c}}\) are unit vectors, such that \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}}\), then \(3 \overrightarrow{\mathbf{a}} \cdot \overrightarrow{\mathbf{b}}+2 \overrightarrow{\mathbf{b}} \cdot \overrightarrow{\mathbf{c}}+\overrightarrow{\mathbf{c}} \cdot \overrightarrow{\mathbf{a}}\) isKCET 2010 Medium
- A student has to answer 10 questions, choosing at least 4 from each of the parts \(A\) and \(B\). If there are 6 questions in part \(A\) and 7 in part \(B\), then the number of ways can the student choose 10 questions isKCET 2021 Easy
- The system of equations \(x + 2y = 3\) and \(2x + 3y = 3\) hasKCET 2026 Easy
More PYQs from KCET
- Which one of the following does not represent Arrhenius equation?KCET 2024 Easy
- Which of the following reaction/s does not yield an amine ?
KCET 2025 Medium - Match List-I with List-II
Choose the correct answer from the options given below.List-I (Complex) List-II (Geometry) (a) \([\text{Co(NH}_3\text{)}_6]^{3+}\) (i) Trigonal bipyramidal (b) \([\text{NiCl}_4]^{2-}\) (ii) Octahedral (c) \([\text{Ni(CN)}_4]^{2-}\) (iii) Tetrahedral (d) \([\text{Fe(CO)}_5]\) (iv) Square planar KCET 2026 Medium - Radii of curvature of a converging lens are in the ratio \(1: 2\). Its focal length is \(6 \mathrm{~cm}\) and refractive index is \(1.5\). Then its radii of curvature are ......... respectively.KCET 2013 Easy
- The type of polysaccharide present in a cotton fibreKCET 2022 Easy
- Ten identical cells each emf \(2 \mathrm{~V}\) and internal resistance \(1 \Omega\) are connected in series with two cells wrongly connected. A resistor of \(10 \Omega\) is connected to the combination. What is the current through the resistor?KCET 2023 Medium