RD Sharma Solutions for Class 11 Maths Chapter 5 – Trigonometric Functions are available here to help students prepare well and score high marks in their board exams. In earlier classes, you learned about trigonometric ratios for acute angles, which are the ratios of the sides of a right-angled triangle. In this chapter, we will expand the definition of trigonometric ratios to any angle using radian measure and explore them as trigonometric functions.
The experts at HT have created the RD Sharma Class 11 Solutions in a simple and easy-to-understand way, making it easier for students to solve problems effectively. Students can download the solutions in PDF format from the links below.
RD Sharma Solutions for Class 11 Maths Chapter 5 – Trigonometric Functions includes three exercises. To understand the concepts better, students should practice the solutions as many times as possible to improve their chances of scoring well in exams. Let’s take a look at the key concepts covered in this chapter.
RD Sharma Solutions Class 11 Maths Chapter 5 - Download PDF
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RD Sharma Solutions Class 11 Maths Chapter 5 Question with solution
1. Q: Find the value of sin 30°.
Answer: sin 30° = 1/2
2. Q: If cos θ = 1/2, find θ.
Answer: θ = 60°
3. Q: Find the value of tan 45°.
Answer: tan 45° = 1
4. Q: If sin θ = 3/5, find cos θ.
Answer: cos θ = 4/5
5. Q: What is the value of tan 30°?
Answer: tan 30° = 1/√3 ≈ 0.577
6. Q: Find the value of sec 60°.
Answer: sec 60° = 2
7. Q: Express sin θ in terms of cos θ for an angle θ.
Answer: sin θ = √(1 - cos² θ)
8. Q: If sin θ = 1/√2, find cos θ.
Answer: cos θ = 1/√2
9. Q: Find the value of cos 90°.
Answer: cos 90° = 0
10. Q: If sin θ = 4/5, find tan θ.
Answer: tan θ = 4/3
11. Q: Find the value of cot 45°.
Answer: cot 45° = 1
12. Q: Prove that sin² θ + cos² θ = 1.
Answer: Using the Pythagorean theorem, we prove that sin² θ + cos² θ = 1.
13. Q: Find the value of sec 30°.
Answer: sec 30° = 2/√3 ≈ 1.1547
14. Q: What is the value of cos 0°?
Answer: cos 0° = 1
15. Q: If tan θ = 3/4, find sin θ and cos θ.
Answer: sin θ = 3/5, cos θ = 4/5
16. Q: Find the value of sin 60°.
Answer: sin 60° = √3/2 ≈ 0.866
17. Q: What is the value of tan 90°?
Answer: tan 90° is undefined.
18. Q: Prove that sec² θ - tan² θ = 1.
Answer: Using the identity sec² θ = 1 + tan² θ, we prove that sec² θ - tan² θ = 1.
19. Q: If sin θ = 1/2, find the value of cos θ.
Answer: cos θ = √3/2
20. Q: Find the value of sin 90°.
Answer: sin 90° = 1
Frequently Asked Questions
Chapter 5 of RD Sharma’s Class 11 Maths book focuses on Trigonometric Functions. It covers topics such as:
- Trigonometric Ratios for different angles.
- Definitions of Trigonometric Functions for all angles.
- Graphical representation of trigonometric functions.
- Trigonometric identities and their applications.
- Solving problems using trigonometric functions.
Trigonometric functions are a fundamental part of mathematics and have wide applications in fields like physics, engineering, and computer science. Understanding these functions in Class 11 sets a strong foundation for further studies in Calculus, Geometry, and Algebra.
The key trigonometric functions discussed in Chapter 5 include:
Sine (sin)
Cosine (cos)
Tangent (tan)
Cotangent (cot)
Secant (sec)
Cosecant (csc)
These functions are essential for understanding the relationships between angles and sides in right-angled triangles.
RD Sharma solutions offer:
- Step-by-step explanations to help students understand how to apply trigonometric identities and functions.
- Detailed solutions for exercises in the textbook, enabling students to learn methods of solving problems efficiently.
- Practice problems to help reinforce concepts and prepare for exams
RD Sharma Chapter 5 includes various types of problems such as:
Basic calculations of trigonometric ratios.
Application-based problems involving angles, heights, and distances.
Graph plotting of sine, cosine, and tangent functions.
Real-world problems involving trigonometric functions in physics and geometry.
The solutions in RD Sharma help by:
- Explaining how to derive and apply trigonometric identities such as:
- Pythagorean identities,
- Reciprocal identities,
- Angle sum and difference identities.
- Providing examples of how these identities simplify complex problems.