Class 11th Maths – RD Sharma Chapter 7 : Value of Trigonometric Functions at Sum or Difference of Angles – Exercise 7.2 Solutions

1. Find the maximum and minimum values of each of the following trigonometrical expressions:

   (i) 12 sin x − 5 cos x Watch Solution

   (ii) 12 cos x + 5 sin x + 4 Watch Solution

  (iii) 5 cos x + 3 sin (π/6 − x) + 4 Watch Solution

  (iv) sin x − cos x + 1 Watch Solution

2. Reduce each of the following expressions to the sine and cosine of a single expression:

  (i) √3 sin x − cos x Watch Solution

  (ii) cos x − sin x Watch Solution

   (iii) 24 cos x + 7 sin x Watch Solution

3. Show that sin 100° − sin 10° is positive. Watch Solution
4. Prove that (2√3 + 3) sin x + 2√3 cos x lies between −(2√3 + √15) and (2√3 + √15). Watch Solution

Chapter 7: Value of Trigonometric Functions at Sum or Difference of Angles – R. D. Sharma Class 11th Maths

1. Value of Trigonometric Functions at Sum or Difference of Angles Exercise 7.1 Video Solution

2. Value of Trigonometric Functions at Sum or Difference of Angles Exercise 7.2 Video Solution

3. Value of Trigonometric Functions at Sum or Difference of Angles Multiple Choice Questions (MCQs) Video Solution Video Solution

4. Value of Trigonometric Functions at Sum or Difference of Angles Fill in the Blanks (FBQs) Video Solution

5. Value of Trigonometric Functions at Sum or Difference of Angles Very Short Answer Questions (VSAQs) Video Solution Video Solution