This exercise explains the topic of properties of inverse trigonometric functions with illustrations. Students can get the detailed RD Sharma Solutions for Class 12 Maths Exercise 4.11 Chapter 4 Inverse Trigonometric Functions from the links available below. Students gain better knowledge about the exercise-wise problems included in this chapter by solving the RD Sharma Solutions for Class 12. To score well in the exams, students have to practise the solutions provided by the subject experts at BYJU’S without fail. PDFs can be downloaded easily from the links given below.
RD Sharma Solutions for Class 12 Chapter 4 – Inverse Trigonometric Functions Exercise 4.11
Access answers to Maths RD Sharma Solutions for Class 12 Chapter 4 – Inverse Trigonometric Functions Exercise 4.11
Exercise 4.11 Page No: 4.82
1. Prove the following results:
(i) Tan-1 (1/7) + tan-1 (1/13) = tan-1 (2/9)
(ii) Sin-1 (12/13) + cos-1 (4/5) + tan-1 (63/16) = π
(iii) tan-1 (1/4) + tan-1 (2/9) = Sin-1 (1/ √5)
Solution:
(i) Given Tan-1 (1/7) + tan-1 (1/13) = tan-1 (2/9)
Hence, proved.
(ii) Given Sin-1 (12/13) + cos-1 (4/5) + tan-1 (63/16) = π
Consider LHS
Hence, proved.
(iii) Given tan-1 (1/4) + tan-1 (2/9) = Sin-1 (1/ √5)
2. Find the value of tan-1 (x/y) – tan-1 {(x-y)/(x + y)}
Solution:
Given tan-1 (x/y) – tan-1 {(x-y)/(x + y)}
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