Note on Trigonometric Function

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Graph of Trigonometric Function

Different standard angles are taken as a variable in the trigonometric function. For different angles, the values of trigonometric ratios will also be different. Take the angles of x-axis and values of trigonometric ratios in the y-axis. Join the points freely to obtain the graph of the trigonometrical ratio. For example: To draw the graph of y = sin x, we take x as standard angles 0o , 30o, 60o, 90o, 120o, 150o, 180o, 210o, 240o, 270o, 300o, 330o, 360o.

Some standard values of x and the corresponding values of sin x are given below:

x y = sinx
0
30° 0.5
45° 0.71
60° 0.87
90° 1
120° 0.87
135° 0.71
150° 0.5
180° 0
210° -0.5
225° -0.71
240° -0.87
270° -1
300° -0.87
315° -0.71
330° -0.5
360°  0

Plotting these values in the graph paper, we get the following graph. We get,

.

x y = sinx
0
30° 0.5
45° 0.71
60° 0.87
90° 1
120° 0.87
135° 0.71
150° 0.5
180° 0
210° -0.5
225° -0.71
240° -0.87
270° -1
300° -0.87
315° -0.71
330° -0.5
360°  0
.

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