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