Mathematics Trigonometric Functions and Their Graphs MCQS Online Preparation Sample Paper Questions with Answer
So, as a student going for the ECAT (Engineers College Admission Test), learning trigonometric functions and their graphs is highly essential. These fundamentals are highly crucial in tackling related issues concerning angles, periodicity, and waveforms. These Mathematics Trigonometric Functions and Their Graphs MCQs will help students develop analytical skills. Nokryan.com provides well-structured preparation materials with a focus on sample papers, practice questions, and detailed solutions for the understanding of trigonometric concepts in the ECAT Mathematics section.
Key Concepts in Trigonometric Functions and Their Graphs
- Trigonometric Functions: Definitions and properties of sine, cosine, tangent, secant, cosecant, and cotangent functions.
- Graphical Representation: Understanding the periodic nature and amplitude of trigonometric functions.
- Domains and Ranges: Identifying valid input values and output limits for different trigonometric functions.
- Periodicity: Calculating the period of trigonometric functions and their transformations.
- Asymptotes and Discontinuities: Recognizing where functions are undefined.
Sample MCQs on Mathematics Trigonometric Functions and Their Graphs
1. The domain of csc x is
- R – {x| x = nπ, n ЄZ} correct
- R – {x| x = (2n + 1)π/2, n ЄZ}
- [-1, 1]
- R
2. The domain of sin x is
- R – {0}
- [-1, 1]
- R correct
- R – {1}
3. the period of sec x is
- 2π correct
- 4π
- π
- 3π
4. The domain of sec x is
- R – {x| x = (2n + 1)π/2, n ЄZ} correct
- R
- [-1, 1]
- R – {x| x = nπ, n ЄZ}
5. The period of cot 2x is
- π/3
- π
- π/2 correct
- 2π/3
6. The range of tan x is
- R – {x| x = (2n + 1)π/2, n ЄZ}
- [-1, 1]
- R – {x| x = nπ, n Є Z}
- R correct
7. The period of cos 2x is
- π correct
- 4π
- 2π
- 3π
8. The period of cot x is
- π correct
- 2π
- 4π
- 3π
9. The range of csc x is
- None of these
- R – {x| – 1 < x < 1} correct
- [-1, 1]
- R
10. The domain of cos x is
- R correct
- R – {0}
- [-1, 1]
- R – {1}
11. The period of tan x is
- π/2
- π/3
- 2π/3
- π correct
12. The domain of tan x is
- [-1, 1]
- R – {x| x = (2n + 1)π/2, n ЄZ} correct
- R
- R – {x| x = nπ, n ЄZ}
13. The range of cos x is
- R
- R – {x| x = nπ, n ЄZ}
- R – {x| x = (2n + 1)π/2, n ЄZ}
- [-1, 1] correct
14. IF, for all x in the domain of f, there exists a smallest positive number p such that f(x+p) = f(x), then p is the
- Period of f(2x)
- Period of f(3x)
- Period of f(4x)
- Period of f(x) correct
15. The period of sec 2x is
- π correct
- 2π/3
- π/3
- π/2
16. The range of cot x is
- R – {x| x = nπ, n Є Z}
- R – {x| x = (2n + 1)π/2, n Є Z}
- [-1, 1]
- R correct
17. A function f(x) is said to be the periodic function if, for all x in the domain of f, there exists a smallest positive number P such that
- f(p)
- p
- f(x+p) =
- f(x) correct
18. The domain of cot x is
- R
- R – {x| x = (2n + 1)π/2, n ЄZ}
- R – {x| x = nπ, n ЄZ} correct
- [-1, 1]
19. The range of sec x is
- R – {x| – 1 < x < 1} correct
- R
- [-1, 1]
- R – {x|x = nπ, n Є Z}
20. The period of csc x is
- 2π correct
- π
- 4π
- 3π
21. The period of cos x is
- π
- 2π correct
- 4π
- 3π
22. The period of tan 2x is
- 2π/3
- π/3
- π/2 correct
- π
23. The period of sin 2x is
- π/2
- π correct
- π/3
- 2π/3
24. the period of sin x is
- 2π/3
- π/2
- π/3
- 2π correct
25. The range of y = sin x is
- [-1, 1] correct
- [-1, 0]
- [-2, 2]
- None of these
Conclusion
Mathematics Trigonometric Functions and Their Graphs is the topic that is necessary to handle the mathematics section of ECAT. Solve the MCQs given below to get a good hold of periodicity, domain, range, and graphical study of the trigonometric functions. Nokryan.com provides structured study materials, expert explanations, and extensive practice questions to ensure comprehensive preparation. Intensive practice and a good understanding of concepts will be instrumental in making the students confident and enhancing their problem-solving skills regarding the ECAT (Entry Test for Admission to any University).