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Fast RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) Exercise 7.2

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RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) Exercise 7.2 - Free PDF

Trigonometric ratios of compound angles are an important chapter to cover in the Class 11 syllabus. This chapter creates a foundation where students learn the different concepts regarding relations between compound angles. They use these concepts to solve the problems in the exercises. By utilizing this solution, you can easily complete preparing this chapter and proceed with your syllabus. 

Free PDF download of RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles Exercise 7.2 solved by Expert Mathematics Teachers of Vedantu. All Chapter 7 - Trigonometric Ratios of Compound Angles Ex 7.2 Questions with Solutions for RD Sharma Class 11 Maths will help you to revise the complete Syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Competitive Exams after 12th Science

TRIGONOMETRY AND ITS SIGNIFICANCE IN ENGINEERING ENTRANCE EXAMS

Trigonometry is all about angles and their functions, applications, and their relation with the sides of a triangle. Trigonometry is applicable throughout geometry as almost every geometric structure can be seen as a collection of multiple triangles. It is one of the most important chapters for class 11th students preparing for IIT-JEE or any other Engineering Exams in general. RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) is a good and well-structured reference to anyone facing difficulties in solving the problems. 

TRIGONOMETRIC RATIOS OF COMPOUND ANGLES: WHAT ARE TRIGONOMETRIC RATIOS?

As we know, the ratio of sides of a right-angled triangle concerning its acute angles are called the trigonometric ratios of an angle. We have six basic trigonometric ratios: sine, cosine, tangent, cotangent, secant, and cosecant.


WHAT IS A COMPOUND ANGLE?

The result of the algebraic sum of two or more angles is a compound angle. In other words, a compound angle is an angle we get through the summation or subtraction done between two or more angles.  For example, let A and B be two angles. Then, A+B, the sum, or A-B, the difference, is called the compound angle. 


FORMULAE FOR TRIGONOMETRIC RATIOS OF COMPOUND ANGLES:

The basic formulae for trigonometric ratios of compound angles are

  • sin (A + B)  =  sin A cos B + cos A sin B

  • sin (A – B)  =  sinA cosB – cosA sinB

  • cos (A + B)  =  cosA cosB – sinA cosB

  • cos (A – B)  =  cosA cosB + sinA cosB

  • tan (A + B)  =  [tanA + tanB] / [1 – tanA tanB]

  • tan (A – B)  =  [tan A – tan B] / [1 + tan A tan B]

  • sin(A + B) sin(A – B) = sin2 A – sin2 B = cos2 B – cos2 A.

  • cos(A + B) cos(A – B) = cos2 A – sin2 A – sin2 B = cos2 B – sin2 A.

 

 

SIGNIFICANCE OF TRIGONOMETRIC RATIOS OF COMPOUND ANGLES IN ENGINEERING ENTRANCE EXAMS: 

As mentioned earlier, trigonometry holds great value and weightage in any engineering entrance exam a class 11th student might be preparing for. Besides, trigonometric ratios of compound angles are one of the topics on which a wide spectrum of questions can be framed, taking into consideration the number of formulas the topic holds. For a class 11th student to crack any exam, it is highly recommended that they refer to RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) for a good practice over the topic. 

To understand the importance of this chapter, make sure you use the solutions formulated by the subject matter experts of Vedantu. Download this file and complete your study material to score better in the exams.

FAQs on Fast RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) Exercise 7.2

1. What topics does RD Sharma Class 11 Solutions Chapter 7 - Trigonometric Ratios of Compound Angles (Ex 7.2) cover?

This exercise sheet covers a wide range of problems on the topic of trigonometric ratios of compound angles which is important for class 11th students in preparation for any engineering entrance exam. The questions solved in this exercise range from easy to complicated so that students can learn how questions can be asked. It is recommended to refer to it if students face difficulty regarding solving problems or just want to have a good practice of the topic. 

2. What is the weightage of trigonometry in entrance exams?

Trigonometry has great weightage in entrance exams like IIT-JEE, etc. Inverse Trigonometry, Trigonometric functions, and trigonometric ratios are some of the most important topics class 11th students must focus on during preparations. Trigonometry has a minimum weightage of 8 marks in the total score of IIT-JEE. The previous year’s papers of IIT-JEE have at least 2-3 questions on this topic. Download the solution for this chapter from Vedantu and understand the concepts. Use the weight distribution in terms of marks of these questions accordingly. 

3. Is trigonometry a tough topic to prepare?

Trigonometry within itself is an easy topic. The range of questions that can be framed makes it a lot harder, but, with the right preparation, it is doable. Most of the time students have this misconception that trigonometry is hard. But it requires good logic application ability which is why studying trigonometry is beneficial. It tends to help with the logical abilities of a student in problem-solving and push them into thinking further and better to solve the given question based on their knowledge. A single question in trigonometry can have multiple solutions because of the large number of formulae the topic contains. It is up to the students which methodology they choose to come up with an easier, shorter, or less time-consuming solution.

4. What is the significance of trigonometry in daily life?

Trigonometry has many uses in day-to-day life as any geometric shape can be broken down into a collection of triangles. In Mathematics, Trigonometry can be used to solve almost every kind of problem. Some of the real-life uses of trigonometry are constructions, measurement of the height of tall structures, marine biology, navigation, criminology, aviation, etc. In short, trigonometry is one of the topics which are highly applicable in real life. 

5. What is the significance of the compound angles formulae in trigonometry?

As mentioned earlier, formulae in trigonometry are widely applicable within the topic itself. Every formula can be used to solve a problem if the student can take the solution forward with a logical approach. Similarly, we can solve various types of problems using the compound angles formulae as well. Students need to keep in mind the trigonometric ratios are while using the compound angles formulae and use the formula according to the given question.