# Trigonometry CAT Questions: Sample Questions (PDF) & Formulas

Trigonometry CAT Questions: The CAT exam 2024 includes three sections: VARC, DILR & QA. Students need to prepare for each CAT section diligently and be informed about updated CAT exam patterns as well. The trigonometry is a part of the CAT quant section. The questions of trigonometry fall under Geometry. To know more about trigonometry and its types of questions, continue reading the blog post below.

## Trigonometry CAT Questions (Sample Questions)

Here are a few sample questions related to trigonometry as per CAT examination.

Q1. If cos A + cos2 A = 1 and a sin12 A + b sin10 A + c sin8 A + d sin6 A – 1 = 0. Find the value of a+b/c+d

A) 4

B) 3

C) 6

D) 1

Q2. Find the maximum and minimum value of 8 cos A + 15 sin A + 15

A) 11√2+15

B) 30; 8

C) 32; -2

D) 23; 8

Q3. 3sinx + 4cosx + r is always greater than or equal to 0. What is the smallest value ‘r’ can to take?

A) 5

B) -5

C) 2

D) 3

In the below figure, the sheet of width W is folded along PQ such that R overlaps S Length of PQ can be written as :-

A) w/sin2αcosα

B) w/cosα(1+sin2α)

C)  24

D) Any two of the above

Answer: Any two of the above

Also Read: Important Topics in DILR for CAT with Preparation Tips

## What is Trigonometry?

The word trigonometry is derived from the Greek word tri meaning three, gon meaning sides and metron meaning measure. It is a study related to the sides and angles of a triangle. The three basic trigonometry functions are sine, cosine and tangent. Other essential equations are derived from cotangent, secant and cosecant.

Also Read: Previous Year CAT Questions on Time, Speed and Distance (2023, 2022, 2021 & 2020): Check Answers

## Table of Angles for CAT Trigonometry Questions

Note the table below to get an idea of the fundamental identities which you need to know to solve CAT Trigonometry Questions.

Also Read: How to Improve Aptitude Skills for CAT Exam?

## Definitions and Fundamental Identities of CAT Trigonometry

Note the table below to get an idea of the fundamental identities which you need to know to solve CAT Trigonometry Questions.

Also Read: 5+ Best CAT Coaching in Mumbai: Check Address and Contact Details

## Basic Trignometric Ratios

The basic trigonometric ratios are mentioned below:

1. sin of ∠A = sin A = Side opposite to ∠A/ Hypotenuse
2. cosin of ∠A = cos A = Side adjacent to ∠A/ Hypotenuse
3. cotangent of ∠A = cot A = 1/tan A = (Side adjacent to ∠A)/ (Side opposite to ∠A)
4. tan of ∠A = tan A = (Side opposite to ∠A)/ (Side adjacent to ∠A)
5. cosecant of ∠A = cosec A = 1/sin A = Hypotenuse/ Side opposite to ∠A
6. secant of ∠A = sec A = 1/cos A = Hypotenuse/ Side adjacent to ∠A
7. Also, tan A = sin A/cos A
8. cot A = cos A/sin A

## Special Triangle Ratio

Two triangles that have the same trigonometric ratio value regardless of the length of their sides. Two triangles have the same trigonometric ratio value regardless of the length of their sides. These two triangles have sides with angles 45°-45°-90° and 30°-60°-90°.

## FAQs

How many questions come from trigonometry in CAT?

It appears in questions about geometry. In the CAT exam, questions in geometry are worth 20% of the total. Though there won’t be any straight questions on trigonometry in the CAT Question Paper, knowing the fundamentals will help you answer the 20% weighted geometry questions.

What is the formula for trigonometry in CAT?

Therefore, as per the basic Trigonometry formula, Sin A = BC/AC. cos A = AB/AC. tan A = BC/AB.

Is trigonometry part of a CAT exam?

Within the quantitative aptitude section, a significant component is trigonometry.

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