Sketch the graph of y=sinθ for πθπ?

1 Answer
Feb 20, 2018

See below.

Explanation:

To sketch this we must know 4 common points of the graph.

We know that π in radians is 180

This means that π2 is 90

From our knowledge, a sine graph has the coordinates:

(0,0)(90,1)(180,0)(90,1)(180,0)

Converting these to radians we get:

(0,0)(π2,1)(π,0)(π2)(π,0)

We know that a sine graph oscillates between 1 and 1.

This means we need to label the y axis with the 1 and 1.

Along the x axis we must go up in radians, use the points mentioned above.

Plot the points on the graph and sketch with a nice smooth curve.

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Notice that the graph repeats this pattern throughout.