Polar Coordinates Review 1 - MS. LAYTON
PreCalc B Test Review for sections 6.1-6.4
6.3-6.4
1. Change to rectangular coordinates:
a) [pic] b) [pic]
2. Give the 3 other “main” names for each polar coordinate.
a) [pic] b) [pic]
3. Change to polar coordinates:
a) [pic] b) [pic]
4. Write the following in rectangular form:
a) r = 2 b) [pic]
c) [pic] d) [pic]
5. Write the following in polar form:
a) [pic] b) [pic]
6. Sketch the following curves in polar coordinates using your calculator. Plot all x-y intercepts
a) [pic] b) [pic]
[pic] [pic]
6.1-6.2
Round lengths of sides to the nearest tenths and angle measures to the nearest degree. Show work.
7. Solve the triangle: B =[pic], a = 4, c = 7 8. Solve the triangle: A = 60(, a = 16, b = 18
9. Two fire-lookout stations are 20 miles apart, with station B directly east of station A. Both stations
spot a fire.The bearing of the fire from station A is N35(E and the bearing of the fire from station
B is N56(W. How far is the fire from station A? Answer to the nearest tenth and label.
10. Three islands in the ocean form a triangle. Island B is 9 miles directly east of Island A. Island C is 6 miles NE of Island A and Island C is 7 miles NW of Island B. What bearing should a person take to get from Island A to Island C? Answer to the nearest degree
Find the area of each triangle. Round to the nearest square unit. Label answers:
(11) A =100(, b = 8 feet, c = 20 feet (12) a = 9 inches, b = 11 inches, c = 6 inches
(do not use Heron’s formula for this) (do use Heron’s formula for this)
6.1-6.4 review: KEY
1. a) [pic] b) [pic]
2. a)[pic][pic] [pic]
b) [pic][pic][pic]
3. a) [pic] or [pic]
b) [pic] or [pic]
4. a) x2 + y2 = 4
b) y = 6
c) x2 + y2 = 3x + 4y
d) y = x (3
3
5. a) [pic]
b) [pic]
6a)
[pic]
7. A = 35(, C = 90( b = 5.7
8. B1 = 77( C1 = 43( c1 = 12.6
B2 = 103( C2 = 17( c2 = 5.4
9. 11.2 miles
10. N 39( E
11. 79 square feet
12. 27 square inches
6b)
[pic]
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