RD Sharma Class 11 Maths Solutions Chapter 7

The class 11 maths book chapter 11 comprises the study of formula expressing the values of trigonometric functions. In RD Sharma class 11 maths solutions for chapter 7, the subject expert has developed various tips & tricks and shortcut techniques to help students grasp the concepts in mathematics faster and more fun. The detailed stepwise solutions are available with highlighted formulas and answers.

RD Sharma Class 11 Maths Chapter 7 Solutions

RD Sharma class 11 trigonometric functions cover important topics like trigonometric functions values, including sum & difference, cosine, sine, and tangent of the difference, and maximum or minimum values of trigonometric expressions.

Below are the solutions to RD Sharma class 11 maths chapter 7 solutions.

RD Sharma Class 11 Maths Chapter 7 Solutions

Chapter 7 Question 1.1	Chapter 7 Question 5
Chapter 7 Question 1.2	Chapter 7 Question 6.1
Chapter 7 Question 1.3	Chapter 7 Question 6.2
Chapter 7 Question 1.4	Chapter 7 Question 7.1
Chapter 7 Question 2.1	Chapter 7 Question 7.2
Chapter 7 Question 2.2	Chapter 7 Question 7.3
Chapter 7 Question 2.3	Chapter 7 Question 7.4
Chapter 7 Question 3.1	Chapter 7 Question 8.1
Chapter 7 Question 3.2	Chapter 7 Question 8.2
Chapter 7 Question 4	-

Question 1.1

If sin A = 4/5 and cos B = 5/13, where 0

sin (A + B).

Solutions 1.1

Question 1.2

If sin A = 4/5 and cos B = 5/13, where 0

cos (A + B).

Solutions 1.2

Question 1.3

If sin A = 4/5 and cos B = 5/13, where 0

sin (A – B)

Solutions 1.3

Question 1.4

If sin A = 4/5 and cos B = 5/13, where 0

cos (A – B)

Solutions 1.4

Question 2.1

If Sin A = 12/13 and sin B = 4/5, where π/2

(i) sin (A + B)

Solutions 2.1

Question 2.2

If Sin A = 12/13 and sin B = 4/5, where π/2

(ii) cos (A + B)

Solutions 2.2

Question 2.3

If Sin A = 3/5 and cos B = - (12/13), where A and B both lie in the second quadrant, find the value of sin (A+ B).

Solutions 2.3

Question 3.1

If cos A = -(24/25) and cos B = 3/5, where π < A < 3π/2 and 3π/2 < B < 2π, find the following:

(i) sin (A + B)

Solutions 3.1

Question 3.2

If cos A = -(24/25) and cos B = 3/5, where π < A < 3π/2 and 3π/2 < B < 2π, find the following:

(i) cos (A + B)

Solutions 3.2

Question 4

If tan A = 3/4, cos B = 9/41, where π < A < 3π/2 and 0 < B < π/2,

Find tan (A + B).

Solutions 4

Question 5

If sin A = 1/2, cos B = 12/13, where π/2 < A < π and 3π/2 < B < 2π,

Find tan (A - B).

Solutions 5

Question 6.1

If sin A = 1/2, cos B = √3/2, where π/2 < A < π and 0 < B < π/2, find the following,

(i) tan (A + B)

Solutions 6.1

Question 6.2

If sin A = 1/2, cos B = √3/2, where π/2 < A < π and 0 < B < π/2, find the following,

(ii) tan (A – B)

Solutions 6.2

Question 7.1

Evaluate the following:

(i) sin 78⁰ cos 18⁰ – cos 78⁰ sin 18⁰

Solutions 7.1

Question 7.2

Evaluate the following:

(ii) cos 47⁰ cos 13⁰ – sin 47⁰ sin 13⁰

Solutions 7.2

Question 7.3

Evaluate the following:

(iii) sin 36⁰ cos 9⁰ + cos 36⁰ sin 9⁰

Solutions 7.3

Question 7.4

Evaluate the following:

(iv) cos 80⁰ cos 20⁰ + sin 80⁰ sin 20⁰

Solutions 7.4

Question 8.1

If cos A = – (12/13) and cot B = 24/7, where A lies in the second quadrant and B in the third quadrant, find the values of the following:

(i) sin (A + B)

Solutions 8.1

Question 8.2

If cos A = –12/13 and cot B = 24/7, where A lies in the second quadrant and B in the third quadrant, find the values of the following:

(ii) cos (A + B)

Solutions 8.2

Values of Trigonometric Functions Chapter Description

To understand the various trigonometric concepts easily, students must set up a timeline and make it a practice every day to practice the trigonometric expressions. In addition, maintain a formula note with diagrams and basic sine, cosine, and tangent expressions and formulas.

Various concepts discussed in the values of trigonometric functions chapter are,

• Sum or difference of two numbers under the cosine, sine, and tangent functions.
• Trigonometric theorems.
• Maximum and minimum values of trigonometric expressions.