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