Solutions To Exercises Functions Worksheet Page 11
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13Solutions to Exercises
36
Exercise 4. Find the coordinates of the point P (x, y) on the unit circle determined
by the angle π/6 rad.
Solution: Consider the triangle in the figure below formed by the points (±x, ±y) and
the origin. The two sides formed by radii of the unit circle ensure that this triangle
is isosceles. Hence, this is an equilateral triangle since the angle at the origin has
measure π/3 rad and the remaining two angles must be equal and, consequently, have
radian measure π/3.
y
P x y
( , )
p
/ 6
x
p -
/ 6
2 y
( , ) x y - -
Since the triangle has one side of length one, all three sides must be one unit long.
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education