Download Algebra and Trigonometry

Algebra and Trigonometry
Review 5.1 – 5.3
1. Change 25.56° to D M S format.
3a. Give the angle measure represented by
a.
2.625 clockwise rotations.
Name _______________________________
Date __________________________
2. Change 69° 10’ 25’’ to decimal format.
(3 decimal places)
b.
1.6 counter clockwise rotations.
b. Give the quadrants in which the angles lie.
a.
640˚
b.
–210˚
c.
-540˚
4a. Give one negative and one positive co-terminal angle for 945°.
b. Determine if -595° is co-terminal with 1045° and if their reference angles are the same.
c. Determine if 640˚ is co-terminal with -800˚ and if their reference angles are the same.
5. Give the reference angles for the following:
a.
295°
b.
-237°
c.
180˚
For questions 6-8, refer to the diagram shown.
6. Find the value of sin A.
A
9
B
B
7. Find the value of cot B.
4
C
8. Find the value of sec B.
9a. Draw a unit circle and label the special angles.
b. Draw the 45-45-90 triangle and label the sides.
c. Draw the 30-60-90 triangle and label the sides.
9. Use the unit circle and the special right triangles given to find the exact values (no decimals), of the following:
a. cos 135°
b.
sin (-240°)
c.
cot 180°
d.
csc 120°
e.
sec 225°
f.
tan (-30°)
g.
cos 210˚
h.
sin 270˚
i.
sec (– 270˚)
10. Find the six trig ratios for the terminal side going through the point (-2, 3).
11. csc α = –3 and tan α > 0; find cos α.
11. Find the missing sides for the triangles shown. Round to the nearest tenth.
15
y
24
y
15°
x
38°
x
12. A 150 ft cable is attached to the top of a pole. If the angle the cable makes with the ground is 53°,
a. Find the height of the pole.
b. Find the distance from the cable to the base of the pole.