**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**

YEAR | SLOT | NO OF QUESTIONS | GOOD ATTEMPT | DIFFICULTY LEVEL |

2019 | 1 | 1 | 1 | Easy |

2 | 1 | 1 | Easy | |

2018 | 1 | 2 | 1 | Moderate |

2 | 1 | 1 | Easy |

**XAT**

YEAR | NO OF QUESTIONS | GOOD ATTEMPT | DIFFICULTY LEVEL |

2020 | 2 | 1 | Moderate |

2019 | 2 | 1 | Difficult |

2018 | 1 | 1 | Moderate |

**SNAP**

YEAR | NO OF QUESTIONS | GOOD ATTEMPT | DIFFICULTY LEVEL |

2019 | 1 | 0 | Difficult |

2018 | – | – | – |

2017 | 1 | 1 | Moderate |

2016 | – | – | – |

**CMAT**

YEAR | NO OF QUESTIONS | GOOD ATTEMPT | DIFFICULTY LEVEL |

2019 | 2 | 1 | Difficult |

2018 | – | – | – |

2017 | – | – | – |

2016 | 1 | 1 | Easy |

- 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)
- Finding sum or difference of angles
- Learning Double-angle formulas
- Product-to-sums
- Sums-to-product
- Even odd identities
- Trigonometric identities
- Learning the Quotient and Reciprocal Identities
- Solving trigonometric equations
- Finding the Triangle Trig – For e.g. application of sine, cosine, and tangent
- Learning about the six basic trigonometric ratios. The key is that each trigonometric function becomes periodic which means that values repeat in equal trends
- Finding the Unit Circle – For e.g. Each point (X, Y) on a circle gives values of cosine and sine of the corresponding angle
- Finding Pythagorean identities. For e.g. When applied to the unit circle, we get a trio of the useful trigonometric function
- Direction, heights, and distances with the applications of trigonometry

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

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**LEVEL 1**

- Students are supposed to have basic knowledge of trigonometry concepts
- They should have a fast calculation mindset
- The first step is to clear all your basics
- 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**

- Domain and range is an important part of trigonometric function, so to remember it plot these graphs by on your own
- 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
- Always try to solve trigonometry questions using a different approach
- Trigonometry concepts starts with the triangles so keep in your mind that behind every question there is a triangle
- 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

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