Trigonometry CAT Questions- Download Sample Trigonometry CAT Question & Answer PDF

By Aditi Joshi|Updated : May 9th, 2022

Trigonometry CAT Questions are a part of the Geometry section and are asked under the Quantitative Ability section of the CAT exam. Though it has been seen that the Trigonometry CAT Questions are rarely asked in the CAT exam. As the CAT Authorities do not prescribe the CAT syllabus, it cannot be assumed that Trigonometry CAT Questions are not included in the CAT syllabus. 

It has been seen that CAT Trigonometry Questions have been asked once in 5-6 years. The candidates should practice Trigonometry CAT Questions although the frequency of the questions asked is negligible.

Table of Content

Basic Concepts for Trigonometry CAT Questions 

Trigonometry CAT Questions basically involve formulae-based questions. The candidates should learn basic concepts for Trigonometry CAT Questions in order to ace the CAT exam. To begin with, it is important to understand the basic concepts of hypotenuse, base, and perpendicular. 

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In a Right Triangle such as ABC

  • AC is the Hypotenuse of the triangle.
  • AB is the perpendicular of the triangle. 
  • BC is the base of the triangle. 

Therefore, as per basic Trigonometry formula, 

  • Sin A = BC/AC
  • cos A = AB/AC
  • tan A = BC/AB
  • cosec A = 1/ sin A
  • sec A = 1/ cos A
  • cot AA = 1/ tan A

Table of Angles for Trigonometry CAT Questions

The table of angles for Trigonometry CAT Questions helps to find the values of standard angles. The table consists of trigonometric ratios such as sine, cosine, tangent, cosecant, secant, cotangent. The candidates having complete knowledge of the table of angles will be able to solve Trigonometry CAT Questions easily. Given below is the table of angles:

Degrees

30°

45°

60°

90°

180°

270°

360°

Radians

0

π/6

π/4

π/3

π/2

π

3π/2

Sin θ

0

1/2

1/√2

√3/2

1

0

-1

0

Cos θ

1

√3/2

1/√2

1/2

0

-1

0

1

Tan θ

0

1/√3

1

√3

0

0

Cot θ

√3

1

1/√3

0

0

Sec θ

1

2/√3

√2

2

-1

1

Cosec θ

2

√2

2/√3

1

-1

CAT Trigonometry Questions 

In order to ace the Trigonometry CAT Questions, the candidates must practice questions based on trigonometry regularly. As there is no fixed syllabus for CAT the candidates should not ignore this topic. Given below are some of the sample Trigonometry CAT Questions for reference:

Question: The maximum value of 3 cosx + 4 sinx + 8 is —------?

Answer: 13

Explanation:

 

CAT Trigonometry Questions

 

Trigonometry CAT Questions

Question: The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.

Answer: 10√3 m

Explanation:

Here, b = 30 m, Angle of Elevation = 30º

tan 30º = p/30

⇒ 1/√3 = p/30

⇒ p = 10√3

∴ Height = 10√3 m

Question: If cos4θ - sin4θ = 3/4, then the value of 2cos2θ – 1 is:

Answer: 0.75

Explanation:

Given: cos4θ - sin4θ = ¾

We know that x2 − y2 = (x − y)(x + y) 

So, (cos2θ − sin2θ)(cos2θ + sin2θ) = ¾

⇒ (cos2θ − sin2θ) = ¾

⇒ (cos2θ − 1 + cos2θ) = ¾

⇒ 2cos2θ − 1 = 3/4

Question: f sin(x + y) = cos(x – y), then the value of cos2x is:

Answer: ½

Explanation:

Given:

sin(x + y) = cos(x – y)

⇒ sin(x + y) = sin(90° – x + y)

⇒ x + y = 90° – x + y

⇒ 2x = 90°

⇒ x = 45°

Therefore, cos2x = cos245° = = 1/2

Trigonometry CAT Questions PDF

Candidates need to solve the different types of Trigonometry CAT Questions available. Candidates aspiring to take the CAT Exam can check the BYJU’S Exam Prep App for Trigonometry Practice Questions. Candidates can download the Trigonometry CAT Questions PDF given below

How to Solve Trigonometry CAT Questions?

In order to solve Trigonometry Questions for CAT, the candidates need to have a strong grip on trigonometry formulae. Candidates can solve Trigonometry Questions for CAT easily if they solve the questions by diagrammatically representing the given data. The candidates should solve CAT previous year's papers and mock tests in order to understand the type and difficulty level of Trigonometry CAT Questions.

Best Books for Trigonometry CAT Questions

Candidates can solve Trigonometry CAT Questions from different Quantitative Ability books available in the market. It is always suggested that the candidates should choose the books of renowned authors/publishers. Candidates can check the BYJU’S Exam Prep App for study notes based on Trigonometry CAT Questions and also attempt the practice questions. They can also get a detailed understanding of the topic by watching the live sessions on the BYJU’S Exam Prep App. 

Important CAT Topics
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CAT Eligibility CriteriaCAT Result

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FAQs on Trigonometry CAT Questions

  • Trigonometry CAT Questions are rarely asked in the CAT exam. To ensure that you are fully prepared for the CAT Exam, practice the Trignometry questions PDF mentioned here along with the CAT Question papers. As CAT does not prescribe any syllabus, the candidates should practice Trigonometry CAT Questions.

  • Candidates need to practice previous year's question papers and mock tests in order to crack Trigonometry CAT Questions. Candidates can solve the BYJU’S Exam Prep Mock tests to understand the type of questions asked in the exam. 

  • Trigonometry CAT Questions are rarely asked however, the candidates should practice questions on trigonometry as the CAT exam has no defined syllabus. On the basis of past trends, it has been observed that the frequency of Trigonometrical CAT Questions is less. 

  • There are no maximum and minimum Trignometry CAT Questions. However, it has been seen that Trignometry Questions have not been asked in the recent CAT exam. But it is important to remember that Trigonometry Questions in CAT can be solved easily if the candidates have good knowledge about Trigonometric Ratios. Candidates should solve the previous year's question papers so that they have an understanding of the type of questions asked in the exam.

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