STEP 4:

Hand in the fourth worksheet:

Using the right angle triangle on the first quadrant -- which hypotenuse is equals to one -- find out the coordinates of the ended point to the angle of 30°.

If the class did not remember these values by heart when asked to complete the first table, make the best of this and deduce sine and cosine of 30° through the equilateral triangle with sizes equals to one:

The measurement of the height can be found by using the Pythagorean theorem and the same triangle can be used to find sine and cosine of 60°.
In order to find the trigonometric ratios for the angle of 45°, use a square with diagonal equals to one.

With this fourth worksheet the students are going to find the coordinates of the other three plotted points through the association of these points to the angles of 150°, 210° and 300°.

If the class has some difficulty to associate these points to the desired angle, there is a graphic which can be given to them as an exercise:

OPTIONAL

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