Question

. Draw a unit circle. A unit circle is a circle whose radius is 1 and whose center is located at the origin of a rectangular coordinate system. On this unit circle let θ be the angle measured from the positive x‐axis to the point P = (x, y). Label the angles 0, 6  , 4  , 3  , 2  ,  , 2 3 , 2 and the coordinates of the points on the unit circle that correspond to each of these angles. 2. Plot the point         2 3 , 2 1 . How can you check that the point is on the unit circle? (Hint: recall the equation of the unit circle). Plot the points symmetric to it with respect to the y-axis, to the x-axis, and to the origin. Label the coordinates of the points you found. Find positive angles (expressed in radians) which correspond to the points. 3. Explain how symmetry can be used to find the coordinates of points on the unit circle for angles whose terminal sides are in quadrants II, III, and IV. 4. If   x, y is a point on the unit circle in quadrant I and if 2 3 x  , what is y ? 5. Find two negative and three positive angles, expressed in ra

Answer 1

When drawing a rectangle the point of origin is P = xy and the 0 be upon the positive x axis back to P this way we have a rectangle length.

The circle is inscribed in the middle of the rectangle.

Explanation:

0,6 as this is 1/6th of circle

9,45 as this is 3/9th of a circle

36, 22.5 as this is 5/10 of a circle

-27, -16.5 as this is 7/10 of a circle

When we join up -27 to 0 with the end line of a rectangle the base, we find it is at point for -16 for y and joined to 6 at y and has formed 10/10 of a circle.

This is not correct but may help as they are in proportion.