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Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Which trigonometric ratio is defined?
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
What are the 3 trig ratios?
Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).
Who is the father of trigonometry?
Hipparchus
How to prove trigonometric ratios?
The general method of proving trigonometric identities is to work on each side of the equation separately and simplify or manipulate each side until you reach the same expression on both sides.
RD Sharma Solutions Class 10 Maths Chapter 5 Trigonometric Ratios
In this article we have provided RD Sharma Solutions Class 10 Maths Chapter 5 Trigonometric Ratios prepared by our experts to help students to prepare better for their examinations.
Neha Tanna7 Nov, 2024
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RD Sharma Solutions Class 10 Maths chapter 5:
Chapter 5 of RD Sharma's Class 10 Maths, Trigonometric Ratios, introduces students to the fundamentals of trigonometry, specifically focusing on defining and calculating trigonometric ratios for acute angles. The chapter covers the six main trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent, derived from the sides of a right-angled triangle.
Through examples and problems, students learn to find these ratios for given angles and understand their significance in solving real-world problems involving heights, distances, and angles. The chapter lays the groundwork for further studies in trigonometry, preparing students for advanced applications in later classes.
RD Sharma Solutions Class 10 Maths chapter 5 Overview
Chapter 5 of RD Sharma’s Class 10 Maths, Trigonometric Ratios, introduces foundational concepts of trigonometry that are crucial for higher mathematics and various practical applications. This chapter covers the basic trigonometric ratios—sine, cosine, tangent, cosecant, secant, and cotangent—derived from right-angled triangles. Understanding these ratios is essential as they form the basis for solving problems involving angles and distances, widely applied in fields like physics, engineering, and architecture.
Mastery of trigonometric ratios not only enhances problem-solving skills but also prepares students for advanced topics like calculus and analytical geometry in later grades.
What are Trigonometric Ratios?
The sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios. The study of the sides and angles of a right-angled triangle is known as trigonometry in geometry. Trig ratios are therefore assessed in relation to sides and angles.
Trigonometric Ratios
Sin θ
Opposite Side to θ/Hypotenuse
Cos θ
Adjacent Side to θ/Hypotenuse
Tan θ
Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ
Adjacent Side/Opposite Side & 1/tan θ
Sec θ
Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ
Hypotenuse/Opposite Side & 1/sin θ
Note: The right triangle's base is on the adjacent side, while the perpendicular side is on the opposite side. For further in-depth information on any of these ratios or functions, see trigonometric functions.
Below, we have provided a PDF of RD Sharma Solutions for Class 10 Maths Chapter 5, Trigonometric Ratios. This chapter is essential for understanding the fundamental trigonometric concepts, including sine, cosine, tangent, and their applications in solving problems. These solutions offer step-by-step guidance for each exercise, making it easier to grasp and apply trigonometric ratios effectively. Download the PDF to strengthen your understanding and practice thoroughly.
RD Sharma Solutions Class 10 Maths Chapter 5 Trigonometric Ratios
Here we have provided RD Sharma Solutions Class 10 Maths Chapter 5 to help students in their exam preparation. These solutions are created to help students understand and solve problems effectively, ensuring a strong grasp of the concepts.
Here is the RD Sharma Solutions Class 10 Maths Chapter 5 in table form:
RD Sharma Solutions
Chapter 5
Exercise 5.1
RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.1
Exercise 5.2
RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.2
Exercise 5.3
RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.3
Benefits of RD Sharma Solutions Class 10 Maths Chapter 5
Here are the benefits of using RD Sharma Solutions for Class 10 Maths Chapter 5 on Trigonometric Ratios:
Comprehensive Understanding
: RD Sharma Solutions explain concepts like sine, cosine, tangent, and other trigonometric ratios step-by-step, providing a thorough foundation that helps students understand the "why" and "how" behind each concept.
Clear Explanation of Formulas
: The solutions provide detailed explanations of the formulas and theorems related to trigonometric ratios, making it easier for students to remember and apply them accurately in various problems.
Step-by-Step Solutions
: Each problem is solved in a structured, step-by-step manner, which helps students understand the approach to solving different types of trigonometric questions, boosting problem-solving skills.
Practice for Board Exams
: Chapter 5 is crucial for board exams, and RD Sharma Solutions cover a wide range of questions that help students practice and prepare for the types of questions they might encounter in the exam.
Confidence in Applying Trigonometry
: Regular practice with these solutions helps students gain confidence in using trigonometric concepts and ratios, which is essential as trigonometry is foundational for higher-level math and other subjects like physics.
Enhanced Problem-Solving Speed and Accuracy
: By regularly practicing RD Sharma solutions, students can improve both speed and accuracy in solving trigonometric problems, which is beneficial for time management during exams.
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