Class 11th Maths – RD Sharma Chapter 6 : Graph of Trigonometric Functions – Exercise 6.1 Solutions

1. Sketch the graphs of the following functions:

  (i) f(x) = 2 sin x, 0 ≤ x ≤ π Watch Solution

  (ii) g(x) = 3 sin (x − π/4), 0 ≤ x ≤ 5π/4 Watch Solution

  (iii) h(x) = 2 sin 3x, 0 ≤ x ≤ 2π/3 Watch Solution

  (iv) ϕ(x) = 2 sin (2x − π/3), 0 ≤ x ≤ 7π/5 Watch Solution

  (v) ψ(x) = 4 sin 3(x − π/4), 0 ≤ x ≤ 2π Watch Solution

  (vi) θ(x) = sin (x/2 − π/4), 0 ≤ x ≤ 4π Watch Solution

  (vii) u(x) = sin² x, 0 ≤ x ≤ 2π, v(x) = |sin x|, 0 ≤ x ≤ 2π  Watch Solution

  (viii) f(x) = 2 sin πx, 0 ≤ x ≤ 2. Watch Solution

2. Sketch the graphs of the following pairs of functions on the same axes:

  (i) f(x) = sin x, g(x) = sin (x + π/4) Watch Solution

  (ii) f(x) = sin x, g(x) = sin 2x Watch Solution

  (iii) f(x) = sin 2x, g(x) = 2 sin x Watch Solution

  (iv) f(x) = sin x/2, g(x) = sin x Watch Solution

Chapter 6: Graphs of Trigonometric Functions – R. D. Sharma Class 11th Maths

1. Graph of Trigonometric Functions Exercise 6.1 Video Solution

2. Graph of Trigonometric Functions Exercise 6.2 Video Solution

3. Graph of Trigonometric Functions Exercise 6.3 Video Solution