Page 23 - Mathematics Class - XII

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4. Mark the points on y-axis: 1, –1 , 0, , –1, etc.
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5. To sketch the graph of y = sin x, we can use the table of values given below.

–p –5p –p –p –p –p
x
2 12 3 4 6 12

sin (x) –1 –0.9659 –0.8660 –0.7071 –0.5 –0.2588

p p p p 5p p
x 0°
12 6 4 3 12 2

sin (x) 0 0.2588 0.5 0.7071 0.8660 0.9659 1

Take these values of x on the x-axis and values of sin x on the y-axis with equal division as given in Fig. (c).

Fig. (c)

6. Fix thumb pins or paper pins on the points namely, A , A , A , A , A , A , A , A , A , A , A , A . Also fix
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a pin at O.
–p p
7. Join these pins with thread to get the graph of sin x from to .
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8. Now draw the graph of the line y = x by joining the points (1, 1), (2, 2), (3, 3), (4, 4),...etc. on the coordinate
plane and fixing a thread on these points.
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