Consider the point (1, ) plotted in the graph below.
(a) Find the value of in the equivalent polar coordinates.
(b) Now that we have the values of , , and , which of the following equations could help us solve for ?
A.
B.
C.
D.
E.
F.
G.
H.
I.
None of the above
(c) Use one of your answers to part (b) to find a possible value of between 0 and .
(d) Which of the following are also possible values of ?
A.
B.
C.
D.
E.
F.
None of the above
(e) Find all possible values of .
+
where is any integer and the base angle is between 0 and .
Hint
a) Note that the triangle above is a right triangle.
b) Recall that and . Is there another trigonometric function we can use to solve for ?