CAT Questions | TRIGONOMETRY

IMPORTANCE OF THIS TOPIC IN THE VARIOUS EXAMINATIONS

Quantitative Aptitude is an important topic when it comes to MBA Entrance exams. Trigonometry is one of the most important aspects of Quantitative Aptitude. The reason why Trigonometry is being included as a sub-topic under Quantitative Aptitude is it helps students work out complex angles and dimensions in relatively little time. Trigonometry questions helps the candidate understand the trigonometry identities. Students learn important trigonometry concepts like Angles and Unit circles. Since the last few years, especially from 2017, very few trigonometry questions have been coming in every entrance exam. Nevertheless, it is good to go prepared.

Trigonometry concepts vary a lot. Trigonometry Questions can vary from heights and distances to concepts of identities.

Entrance exams like CAT and GMAT test a person on both these fronts.

FREQUENCY OF TRIGONOMETRY QUESTIONS IN THESE EXAMS

CAT

YEARSLOTNO OF QUESTIONSGOOD ATTEMPTDIFFICULTY LEVEL
2019
111Easy
211Easy
2018
121Moderate
211Easy

XAT

YEARNO OF QUESTIONSGOOD ATTEMPTDIFFICULTY LEVEL
202021Moderate
201921Difficult
201811Moderate

SNAP

YEARNO OF QUESTIONSGOOD ATTEMPTDIFFICULTY LEVEL
201910Difficult
2018
201711Moderate
2016

CMAT

YEARNO OF QUESTIONSGOOD ATTEMPTDIFFICULTY LEVEL
201921Difficult
2018
2017
201611Easy

 

List of Trigonometric Concepts

  1. Specific functions of angles and their applications to calculations. For e.g. sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec) and cosecant (csc)
  2. Finding sum or difference of angles
  3. Learning Double-angle formulas
  4. Product-to-sums
  5. Sums-to-product
  6. Even odd identities
  7. Trigonometric identities
  8. Learning the Quotient and Reciprocal Identities
  9. Solving trigonometric equations
  10. Finding the Triangle Trig – For e.g. application of sine, cosine, and tangent
  11. Learning about the six basic trigonometric ratios. The key is that each trigonometric function becomes periodic which means that values repeat in equal trends
  12. Finding the Unit Circle – For e.g. Each point (X, Y) on a circle gives values of cosine and sine of the corresponding angle
  13. Finding Pythagorean identities. For e.g. When applied to the unit circle, we get a trio of the useful trigonometric function
  14. Direction, heights, and distances with the applications of trigonometry
 

List Of Important Trigonometric Questions From Previous Examinations

1. The number of the real roots of the equation 2cos(x(x + 1)) = 2x + 2-x is? (CAT 2019 Slot 1)
A. 0
B. Infinite
C. 1 (CORRECT ANSWER)
D. 2

2. 3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take? (CAT 2018 Slot 2)
A. 5
B. -5 (CORRECT ANSWER)
C. 4
D. 3

3. Consider a regular hexagon ABCDEF. There are towers placed at B and D. The angle of elevation from A to the tower at B is 30 degrees, and to the top of the tower at D is 45 degrees. What is the ratio of the heights of towers at B and D? (CAT 2018 Slot 2)
A. 1:√3
B. 1:2√3 (CORRECT ANSWER)
C. 1:2
D. 3:4√3

4. What is the value of (1-CosA) / (1+CosA) given that tan A = 3/4 ? (CAT 2016 Slot 1)
A. 1/4
B. 9/16
C. 1/9 (CORRECT ANSWER)
D. 1/3

Words From Our Students ...

Nihar Mehta
Nihar Mehta
Calls from IIMs, SPJIMR & MDI
Read More
I joined the classroom coaching programme at MBA Pathshala for my CAT preparation. Since the very beginning, Abhijit Sir & Haider Sir guided me in terms of the strategy & the approach required in order to fare well in the exam. They not only stressed on the academics but also pushed me to build my profile aligned with my interests. Post CAT, they gave me ample practice for my GD & PI preparations with sufficient number of mock interviews & regular feedback for improvement. I managed to get calls from IIMs, SPJIMR & MDI. A huge part in this goes to the team at MBAP and I am cannot thank them enough for their contribution.
Ishan Rathod
Ishan Rathod
Calls from IIM I, S, and all New And Baby IIM's.
Read More
MBAP is great place to preparing for MBA-CET,CAT,CMAT and faculty are unbeatable. They are very helpful best part is they give personal attention to each and every students. Most of faculty...who are alumni of IIM and JBIMS. There is more one to one interaction which helped me get better as the exams approached and helped me get calls from IIM I, S, and all New And Baby IIM's. The interview sessions proved to be of great learning helped me convert IIM S
Sanskriti Reja
Sanskriti Reja
Calls from IIMs, XLRI, XIMB
Read More
MBA Pathshala was my first choice for MBA coaching and I'm happy that joined it. The faculty here is great.. they are really good in what they do. They supported me and motivated me during my journey of clearingthe entrances. They are always available for the doubts, extra lectures. they helped me get through my GD-PIs too after the exams. I am thankful to MBAP for helping me to crack CAT and other entrance exams. I got calls from XLRI, XIMB, IIMs, among others. I have converted colleges like KJ Somaiya, TAPMI, IIM Sambalpur, IIM Sirmaur.
Parth Kanakia
Parth Kanakia
Converted SPJIMR
Read More
I joined MBAP for GD, WAT & PI preparation. Received very good training from Abhijit Singh, Haider and other MBAP faculty. Starting from very basics, good knowledge was provided. Mock interviews were conducted on regular basis. I converted SPJIMR and I would definitely recommend students to join MBAP.
Ronit jaiswal
Ronit jaiswal
Calls from IIM-A/B/C & SNAP 98.12%ile
Read More
I wanted to join a coaching where I can get personalised attention and competitive environment. I got both in MBAP. All the preparation was so rigorous that I eventually started giving my best. They conducted mock interviews/GD/WAT with anonymous panels and trust me it was such a confidence booster. I got a call from SCMHRD (SNAP-98.12) However I always wanted to go for IIM and Abhijeet sir felt that and he convinced me to try again and aim for IIM-A/B/C. Here I am back under his mentorship again. In short give your best and they will bring the best out of you. P.S- I'm a working individual. If I can do it then anybody can. Thank you for being such a great mentors.
Maitreya Khanapurkar
Maitreya Khanapurkar
Calls From IIMs
Read More
Best learning experience.Faculties are good and you will get a good support from them till you get admission into a B-School.The shortcut techniques taught will be of great help for you. Doubts will be solved anytime you want. If planning for CAT CET or any entrance exam go for MBA Pathshala. It was of tutors at MBAP I received a call from IMT Ghaziabad.
Yash Dandavate
GMAT Score - 660
Read More
I joined MBAP for GMAT prep and my experience with them was really amazing, from the first day itself the faculties gave personal attention to each student and made sure each student had their own personalised GMAT and CAT prep plans. The Verbal faculty Rohan Kulkarni Sir was amazing, I was very weak in English and verbal section, but through his guidance I scored a V38 (85th percentile) in my GMAT exam. The Quant faculties Abhijeet and Haider Sir helped me develop strategies and short cuts to approach GMAT problems and we're always available for my doubts. Overall it was a great experience and I would reccomend MBAP to everyone for GMAT and CAT prep
Previous
Next

How to deal with that topic preparation

LEVEL 1

  1. Students are supposed to have basic knowledge of trigonometry concepts 
  2. They should have a fast calculation mindset 
  3. The first step is to clear all your basics
  4. When it comes to trigonometry questions, students should have the skill to identify which trigonometry identity is been needed to solve the problem 

 

LEVEL 2

  1. Domain and range is an important part of trigonometric function, so to remember it plot these graphs by on your own 
  2. Inverse trigonometry may be tough for the first time, but more and more practice makes it easy. Trigonometry questions focus a lot on inverse trigonometry 
  3. Always try to solve trigonometry questions using a different approach 
  4. Trigonometry concepts starts with the triangles so keep in your mind that behind every question there is a triangle 
  5. If you are going for an objective approach then you can put Theta is equal to 0 degrees, 30 degrees, 45 degrees, 60 degrees, 90 degrees, but always keep in your mind that it is not a hard and fast rule which is always to be true 

 

LEVEL 3

Students need to look into trigonometry problems that use multiple concepts to find the solution. Try to answer trigonometry questions from the advanced level of previous cat papers, mock tests, and materials. Finish all the concepts examples and questions given in the NCRT maths book along with miscellaneous exercises. Referring to algebra books by SK Goyal and RD Sharma is very helpful but it is suggested to go through any one of these books simply to avoid confusion. Trigonometry concepts with tons of solved examples and diagrams make the problems easy for a candidate and they can perform better. Reference books by a few authors are helpful but a candidate should choose that totally based upon his standards. Taking too much time for advanced questions will be harmful to crack the exam. Finally, students need to practice as many questions as they can to get a hold of the concepts and find solutions fast. Practice will always help a candidate to crack the trigonometry questions