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Homefsc 1st year math solutionsGraphs of Trigonometric Functions Exercise 11.2

Graphs of Trigonometric Functions Exercise 11.2

  1. Draw the graph of each of the following functions for the intervals mentioned against each:
    i) y=-\sin x x \in[-2 \pi, 2 \pi]
    ii) y=2 \cos x x \in[0,2 \pi]
    iii) y=\tan 2 x x \in[-\pi, \pi]
    iv) y=\tan x, x \in[-2 \pi, 2 \pi]
    v) y=\sin \frac{x}{2}, x \in[0,2 \pi]
    vi) y=\cos \frac{x}{2}, x \in[-\pi, \pi]
  2. On the same axes and to the same scale, draw the graphs of the following functions for their complete period:
    i) y=\sin x and y=\sin 2 x
    ii) y=\cos x and y=\cos 2 x
  3. Solve graphically:
    i) \sin x=\cos x, \quad x \in[0, \pi]
    ii) \sin x=x
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