Lesson 5 Maintaining Your Identity Solidify Understanding
In the diagram, triangle
Point
is any point on the circle and is described by the rectangular coordinates . is the length of the arc subtended by angle . is the radius of circle .
1.
a.
Find
b.
Find
c.
Find
d.
Describe point
e.
Describe point
2.
a.
Find
b.
Find
c.
Find
d.
Describe point
e.
Describe point B using the radius and arc length
3.
a.
Find
b.
Find
c.
Find
d.
Describe point
e.
Describe point
4.
a.
Find
b.
Find
c.
Find
d.
Describe point
e.
Describe point
The Cofunction identity states:
Complete the statements, using the Cofunction identity.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
Let
a.
Use the Pythagorean identity
b.
Use the Quotient identity
15.
Let
a.
Find
b.
Find
c.
Find
16.
Write
17.
Perform the indicated multiplication to see if you can get the Pythagorean Identity.
18.
Use your work in problem #17 to prove
19.
Rearrange the terms in this equation until you get the Pythagorean Identity.
Find two solutions in degrees and two solutions in radians for each equation.
20.
degrees:
radians:
21.
degrees:
radians:
22.
degrees:
radians:
23.
degrees:
radians:
24.
degrees:
radians:
25.
degrees:
radians: