## 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° 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° 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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