Last Updated on July 29, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 12 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 12 maths. In this article, you will find case study questions for CBSE Class 12 Maths Chapter 2 Inverse Trigonometric Functions. It is a part of Case Study Questions for CBSE Class 12 Maths Series.

Chapter | Inverse Trigonometric Functions |

Type of Questions | Case Study Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 12 |

Subject | Maths |

Useful for | Class 12 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 12 Maths Chapterwise Case Study |

### Case Study Questions on Inverse Trigonometric Functions

**Questions**

Passage 1: The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. ‘A’ is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby, Ram Robert and Rahim suggested to the film to place the hoarding board at three different locations namely C, D and E. ‘C’ is at the height of 10 metres from the ground level. For the viewer ‘A’, the angle of elevation of ‘D’ is double the angle of elevation of ‘C’. The angle of elevation of ‘E’ is triple the angle of elevation of ‘C’ for the same viewer.

*Look at the figure given and based on the above information answer the following:*

**(i) Measure of ∠CAB =**

(a) tan^{–1}(2)

(b) tan^{–1}(1/2)

(c) tan–^{1}(1)

(d) tan^{–1}(3)

**Difficulty Level: **Medium

Ans. Option (b) is correct.

**(ii) Measure of ∠DAB =**

(a) tan^{–1}(3/4)

(b) tan^{–1}(3)

(c) tan^{–1}(4/3)

(d) tan^{–1}(4)

**Difficulty Level: **Medium

Ans. Option (c) is correct.

**(iii) Measure of ∠EAB**

(a) tan^{–1}(11)

(b) tan^{–1}(3)

(c) tan^{–1}(2/11)

(d) tan^{–1}(11/2)

**Difficulty Level: **Medium

Ans. Option (d) is correct.

**(iv) A’ is another viewer standing on the same line of observation across the road. If the width of the road is 5 meters, then the difference between ∠CAB and ∠CA’B is**

(a) tan^{–1}(1/12)

(b) tan^{–1}(1/8)

(c) tan^{–1}(2/5)

(d) tan^{–1}(11/21)

**Difficulty Level: **Medium

Ans. Option (a) is correct.

### Also check

- Matrices Class 12 Case Study Questions Maths Chapter 3
- Inverse Trigonometric Functions Class 12 Case Study Questions Maths Chapter 2
- Relations and Functions Class 12 Case Study Questions Maths Chapter 1

### Topics from which case study questions may be asked

- Introduction to Inverse Trigonometric Functions
- Principal value branches
- Domain and range of inverse trigonometric functions
- Graphs of inverse trigonometric functions
- Identities involving inverse trigonometric functions
- Simplification and evaluation of expressions
- Methods for solving trigonometric equations using inverses

The principal value branch of trigonometric inverse functions is as follows:

The symbol sin^{–1}x is used to denote the smallest angle whether positive or negative, such that the sine of this angle will give us x. Similarly, cos^{–1}x, tan^{–1}x, cosec^{–1}x, sec^{–1}x and cot^{–1}x are defined.

Case study questions from the above given topic may be asked.

**Download Customised White Label Study Materials in MS Word Format**

We are providing teaching resources to teachers and coaching institute looking for * customised study materials* in MS word format. Our High-quality editable study material which is prepared by the expert faculties are Highly useful for Teachers, Mentors, Tutors, Faculties, Coaching Institutes, Coaching Experts, Tuition Centers.

### Frequently Asked Questions (FAQs) on Inverse Trigonometric Functions Case Study

#### Q1: What is a case study question in mathematics?

A1: A case study question in mathematics is a problem or set of problems based on a real-life scenario or application. It requires students to apply their understanding of mathematical concepts to analyze, interpret, and solve the given situation.

#### Q2: How should students tackle case study questions in exams?

A2: To tackle case study questions effectively, students should:**Read the problem carefully:** Understand the scenario and identify the mathematical concepts involved.**Break down the problem:** Divide the case study into smaller parts to manage the information better.**Apply relevant formulas and theorems:** Use the appropriate mathematical tools to solve each part of the problem.

#### Q3: Why are case study questions included in the Class 12 Maths curriculum?

A3: Case study questions are included to bridge the gap between theoretical knowledge and practical application. They help students see the relevance of what they are learning and prepare them for real-life situations where they may need to use these mathematical concepts.

#### Q4: What are inverse trigonometric functions?

A4: Inverse trigonometric functions are the inverses of the trigonometric functions (sine, cosine, tangent, etc.). They are used to find the angle when the value of the trigonometric function is known. The main inverse trigonometric functions are *sin ^{–1}x, cos^{–1}x, tan^{–1}x, cosec^{–1}x, sec^{–1}x and cot^{–1}x*.

#### Q5: What is the principal value branch of an inverse trigonometric function?

A5: The principal value branch of an inverse trigonometric function is the restricted domain within which the function takes values to ensure that each inverse trigonometric function is a well-defined function (one-to-one).

#### Q6: **Are there any online resources or tools available for practicing **Inverse Trigonometric Functions **case study questions?**

A12: We provide case study questions for CBSE Class 12 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.