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 Maths 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