Download Unit Circle - Mr. Nickels

Name: _____________________________
Integrated Algebra 2/Trigonometry
Mr. Nickels
Right Triangle Trigonometry and the Unit Circle Homework
1 In the diagram below of right triangle KTW,
,
, and
.
What is the measure of
degree?
3 In the accompanying diagram,
circle O at R,
, and
is tangent to
, to the nearest
2 In the accompanying diagram,
unit circle O at S,
, and
is tangent to
.
Which measure represents cos
1) PO
2) RO
3) OS
4) QS
?
4 The accompanying diagram shows unit circle
O, with radius
.
Which line segment represents sin ?
1)
2)
3)
4)
Which line segment has a length equivalent to
sin ?
1)
2)
3)
4)
5 The accompanying diagram shows unit circle O, 8 8 In right triangle ABC angle B is the right
with radius
.
angle. Side a = 14 and side b = 19.
a. Express the cos C as a fraction in simplest
form.
Which line segment has a length equivalent to
cos ?
1)
2)
3)
4)
6
If is an angle in standard position and
is a point on the terminal side of , what is the
value of
?
1)
b. Express the sin C as a fraction in simplest
form.
c. Find the m<A, to the nearest degree.
2)
3)
9 Point
is on the unit circle whose
4)
center is the origin. If is an angle in standard
position whose terminal ray passes through point
A, what is the value of cos ?
7 If the terminal side of angle passes through
point
, what is the value of
?
1)
2)
3)
4)
10 In right triangle ABC angle B is the
right angle. Given AB = 13, and BC = 16,
find the measure of angle A, to the nearest
tenth of a degree.