Mathematics Fundamentals of Trigonometry MCQS Online Preparation Sample Paper Questions with Answer
Mathematics Fundamentals Of Trigonometry is one of the important topics in the ECAT Engineering Entry Test, which tests the students’ fundamental knowledge of trigonometric formulas and their real-world applications. These multiple-choice questions (MCQs) are often asked in engineering entrance exams and involve angle measurement systems, trigonometric functions, and identities.
To help students excel, Nokryan.com offers comprehensive study resources, It, in fact, provides all the study materials like sample papers, practice questions, solutions, etc. These materials make sure that students are well-grounded in the Mathematics Foundations of Trigonometry 1 so that students can independently resolve trigonometry-related issues in the ECAT examination.
Understanding Mathematics Fundamentals of Trigonometry
Trigonometry is an essential branch of mathematics dealing with angles, triangles, and periodic functions. The key areas covered in this section include:
Angle Measurement Systems:
- Degree system
- Radian system
- Sexagesimal system (Degrees, Minutes, and Seconds)
Trigonometric Functions and Properties:
- Sine (sin), Cosine (cos), and Tangent (tan)
- Cosecant (csc), Secant (sec), and Cotangent (cot)
- Periodicity and symmetry of trigonometric functions
Key MCQs on Mathematics Fundamentals of Trigonometry
1. IF r is the radius, m
- 1 second
- 1 minute
- 1 degree
- 1 radian correct
2. 1 radian ≈
- 180’
- 1°
- 57°17’45” correct
- 180°
3. 1’=
- 3600”
- 60” correct
- 60°
3600°
4. One minute is denoted by
- 1 rad
- 1’ correct
- 1”
- 1°
5. ¼ rotation (anti-clockwise) =
- 90°
- 45° correct
- 360°
- 180°
6. One degree is denoted by
- 1 rad
- 1° correct
- 1”
- 1’
7. If r is the radius, m
- 2 radians
- 3 radians correct
- 3 second
- 3 degrees
8. 16°40’38” =
- 60038” correct
- 60038’
- 17°
- 16°
9. The 60th part of one degree is called one
- Radian
- Second
- Degree
- Minute correct
10. 60’ =
- 1”
- 360°
- 60°
- 3600” correct
11. If an arc of length l of circle of radius r subtends an angle θ radian at the centre, then l =
- 1/rθ
- r/θ
- rθ correct
- θ/r
12. Question was not answered12. 16° =
- 57600’
- 960’ correct
- 960”
- 60038’
13. A right angle is the angle of measure
- 90”
- 60°
- 90’
- 90° correct
14. The 60th part of one minute is called one
- Second correct
- Degree
- Radian
- Minute
15. A radian is the measure of the central angle of an arc of a circle whose length is equal to the
- One-third of radius of the circle
- Diameter of the circle
- Radius of the circle correct
- Half of radius of the circle
16. 1°=
- 60”
- 60’ correct
- 3600’
- 360’
17. The union of two non-collinear rays which have a common endpoint is called the
- Radian
- Angle correct
- Degree
- Minute
18. If the circumference of a circle is divided into 360 congruent (equal in length) parts, the angle subtended by one part at the centre of the circle is called the
- Degree correct
- Minute
- Angle
- Radian
19. 1°≈
- 2.5 radian
- 0.01745 radian correct
- 0.5 radian
- 1 radian
20. One second is denoted by
- 1 rad
- 1’ correct
- 1”
- 1°
21. The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
- Second
- Degree
- Minute
- Radian correct
22. IF r is the radius, m
- 2 minutes
- 2 degrees
- 2 second
- 2 radians correct
23. The system of measurement in which the angle is measured in degrees, and its sub-units, minutes and seconds is called the
- CGS system
- Circular System
- Sexagesimal System correct
- MKS system
24. π radians =
- 360°
- 360’
- 180’
- 180° correct
25. The system of measurement in which the angle is measured in radians is called the
- CGS system
- Sexagesimal System
- MKS system
- Circular System correct
Why is Mathematics Fundamentals of Trigonometry Important for ECAT?
The Mathematics Fundamentals of Trigonometry is crucial for ECAT mathematics as it aids in solving problems related to angles in engineering and physics applications. Mastering trigonometric functions ensures a strong mathematical foundation, allowing students to excel in the ECAT Engineering Entry Test.
Prepare with Nokryan.com
Nokryan.com provides a wide range of preparation materials, including:
- ECAT past papers and sample MCQs
- Step-by-step solutions to trigonometry problems
- Topic-wise quizzes for better conceptual clarity
By practicing regularly, students can enhance their problem-solving skills and improve their ECAT mathematics scores.
Conclusion
The Mathematics Fundamentals of Trigonometry is an important subject for ECAT candidates, assessing their grasp of trigonometric concepts, functions, and identities. With focused practice and an understanding of concepts, students can solve trigonometry-related questions successfully in ECAT Mathematics. Utilize the free resources on Nokryan.com to strengthen your preparation and maximize your chances of success in the ECAT Engineering Entry Test.