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Chapter 6: Graphs of Trigonometric Functions – Exercise 6.2

Graphs of Trigonometric Functions – Exercise 6.2 – Q.1

We have,

Graphs of Trigonometric Functions – Exercise 6.2 – Q.1

Substituting these values in (i), we get

Y = cost X.

Thus we draw the graph of Y = cos X and shift it by π/4 to the left to get the required graph.

the graph of Y = cos X

We have,

graphs-of-trigonometric-functions–exercise-6.2–q.2(ii)

Substituting these values in (i), we get

Y = cos X.

Thus we draw the graph of Y = cos X and shift it by π/4 to the left to get the required graph.

The graph of Y = cos X

We have,

graphs-of-trigonometric-functions–exercise-6.2–q.1(iii)

Y = 3 cos 2X.

Thus we draw the graph of Y = 3 cos 2 X and shift it by 1/2 to the left to get the required graph.

The graph of Y = 3 cos 2 X

We have,

Substituting these values in (i), we get

Y = 2 cos X.

Thus we draw the graph of Y = 2 cos X and shift it by π/2 to the left to get the required graph.

 The graph of Y = 2 cosx

 

Graphs of Trigonometric Functions – Exercise 6.2 – Q.2

Graphs of Trigonometric Functions – Exercise 6.2 – Q.2

We have,

Graphs of Trigonometric Functions – Exercise 6.2 – Q.2(i)

Substituting these values in (i), we get

Y =  cos 2X.

Thus we draw the graph of Y = 2 cos X and shift it by π/4 to the left to get the required graph.

The graph of Y = 2 cos X and shift it by π/4

To obtain the graph of y = cos x/2 we first draw the graph of y = cos x in the interval [0, 2π] and then divide the x-coordinates of the points where it crosses x-axis by 1/2.

The x-coordinates of the points


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