Download TEST - Cobb Learning

Practice TEST
Accelerated Math 3
Intro to Trig
Name __________________________
No Calculators- on test have an *
*1. Determine which quadrant the terminal side of the angle lies in.
a)
15
4
b)
34
3
*2. Determine two co-terminal angles (one positive and one negative) for the given angle.
a)
14580
b)
25
6
*3. Find (if possible) the complement and supplement of the angle.
*4. Convert to degrees.
*5. Convert to radians.
a)
33
8
a)
6. Convert to degree decimal form. a)
b)
2
5
25
4
8000
b)
12500
343 54 '12"
b)
16036"
7. Convert to degrees, minutes, and seconds. a)
146.6820
b)
236.250
8. A bicycle wheel with 12 inch diameter rotates 210°. What distance has the bicycle traveled?
9. A circle of radius r has a central angle of 135° which intercepts an arc of 18 inches. Find r.
Give the exact value of each of the following.
 8 
*10. a) sin  
 3 
b)
 11 
cos 

 6 
*11. a)
 13 
sec 

 4 
b)
 13 
cot 

 2 
*12. a)
 7 
csc 

 3 
b)
 7 
tan 

 4 
*13. Give the exact value of the 6 trigonometric functions of the angle
23
3
*14. The function value cot t = - ¼, t lies in Quadrant II. Find the following:
a) sin ( - t )
b) cos ( - t )
Evaluate the following. Round your answer to four decimal places.
15. a) sin 1340 
b) cos 125014 ' 
c) csc  75019 ' 
 3 
16. a) tan 

 5 
 45 
b) csc 

 4 
c) cot  2340 
*17. A right triangle has an acute angle θ such that cot θ = 8. Find the value of the other 5 trigonometric
functions.
*18. A right triangle has an acute angle θ such that sin θ = 8/17. Find the value of the other 5 trigonometric
functions.
20. Find the value of θ in degrees ( 0°≤θ≤90°) to the nearest hundreth and radians ( 0≤θ≤π/2) to 4 decimals.
a) tan θ = 0.3245
b) sin θ = 0.5287
21. A man that is 6 feet tall casts a shadow 13 feet long. Find the angle of elevation of the sun.
22. The pilot of an airplane flying at 10000 feet sights a water tower. The angle of depression to the base of the
tower is 20°. What is the length of the line of sight from the plane to the base of the tower?
23. The ramp approaching a loading platform that is 6 feet off the ground is to have an angle of 15° with the
ground. Find the length of the ramp. Round to two decimal places.
24. An airplane leaves the runway climbing at 18° with a speed of 275 feet per second. Find the altitude of the
plane after one minute.
25. The angle of elevation from a point 100 feet from the base of a school to the top of a flagpole on the school
is 39°. The angle of elevation from the same point to the base of the flagpole is 28°. Find the height of the
flagpole.
*26. Determine the quadrant in which θ lies.
a) sin θ < 0 and cos θ > 0
b) tan θ < 0 and cos θ > 0
The given point is on the terminal side of an angle in standard position. Determine the exact values of the six
trigonometric functions of the angle.
*27.
( 8, - 15)
*28) ( - 6, - 8 )
*29. Given tan θ = - 7 / 8, and cos θ > 0, find csc θ.
*30. Find the reference angle θ’ of each angle.
a)
3
5
b) 246 0
c) 3400
d)
17
3
31. Find two radian values of θ 0    2 that satisfy cos θ = 0.7833. (Round your answers to 3 decimal
places.)
32. Find two values of θ 00    3600 that satisfy csc θ = 2.5593.