Precalculus Honors NAME: _________________________
4.1 – 4.4 Review
Period: _____ Date: _____________
*NO CALCULATORS
1. Find the corresponding radian measure: (a) 240 (b) 420
3.4 7
2. Find the corresponding degree measure: (a) (b) 4
3. Find the measure of a central angle in a circle of radius 5 ft. if the angle is subtended by an arc
of length 7 ft.
4. A circular arc of length 100 ft. subtends a central angle of 70. Find the radius of the circle.
5. Find the area of a sector with central angle 52 in a circle with radius 200 ft.
*6. Find the values of the six trigonometric functions of .
10
7. Find the sides labeled x and y. x
y
35
2
8 sin 0
cos
*8. Find the values of the trig functions of given that 17 and .
20
*9. Find the reference angle for 7 .
2 6
*10. Find P (x,y) on the unit circle given that the y-coordinate of P is 5 and P is in quadrant III.
11
t
*11. Find the terminal point P (x, y) on the unit circle determined by the value 6 .
9
t
*12. Find the reference angle and the terminal point P (x, y) determined by 4 .
1 2
,
*13. If the terminal point determined by is 5 5 , find sin , cos , and tan .
14. A helicopter is dropping water on a forest fire from a height of 300 ft. If one side of the fire makes an
angle of depression of 40, and the other side makes an angle of depression of 85 on the other side of
the helicopter, how wide is the fire?
15. From the top of a 250 ft lighthouse, the angle of depression to a ship in the ocean is18 . How far is the
ship from the base of the lighthouse?
*16. Find the exact value of the following:
7 4 5
a. sin 4 = ____________ b. cos 3 = ____________ c. tan 6 = ____________
3 7 5
d. csc 2 = ___________ e. sec 6 = ____________ f. cot 3 = ____________
11 3
g. sin = ____________ h. cos 3 = ____________ i. tan 4 = ____________
5 11 19
j. cot 4 = ___________ k. csc 6 = ____________ l. sec 4 = ____________
