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 y-axis Join the points freely to obtain the graph of the trigonometrical ratio.
Summary
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 y-axis Join the points freely to obtain the graph of the trigonometrical ratio.
Things to Remember
| 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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Trigonometric Function
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,
Lesson
Trigonometry
Subject
Optional Mathematics
Grade
Grade 9
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