### Mathematics Trigonometric Functions and Their Graphs 1 MCQS Online Preparation Sample Paper Questions with Answer

Mathematics Trigonometric Functions and Their Graphs 1 MCQs evaluate comprehension of trigonometric functions and graph representations. These questions, typical in exams like the ECAT (Engineering College Admission Test), cover topics such as sine, cosine, and tangent functions, along with their properties and graphical interpretations. Online platforms like Nokryan.com offer comprehensive preparation resources, including sample papers, practice questions, and detailed answers. These materials assist students in mastering Trigonometric Functions and Their Graphs, enabling them to confidently approach related problems in the mathematics section of the ECAT exam.

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