MATH 1316 – Practice Exam 1
The first part of the exam will be questions where you CAN NOT use a calculator. Here are the types of questions that
you will see on this section:
1. State the trigonometric functions that are positive in the following quadrants:
QI:
QII:
QIII:
QIV:
2. Tell whether the following numbers are positive or negative:
tan(305 )
sin(121 )
sec(227 )
3. Write the values for each function:
sin(90 )
cos(90 )
tan(90 )
sec(90 )
csc(90 )
cot(90 )
sin(180 )
cos(180 )
tan(180 )
sec(180 )
csc(180 )
cot(180 )
sin(540 )
cos(540 )
tan(540 )
sec(540 )
csc(540 )
cot(540 )
4. State 3 reciprocal identities:
6. State ALL 3 Pythagorean identities:
5. State 2 quotient identities:
7. Fill in the following table with the values of the trig functions at our special angles 30 , 45 ,60
sin 

cos 
tan 
csc
sec
cot 
30
45
60
8. Write the values for each function:
sin(120 )
cos(120 )
tan(120 )
sec(120 )
csc(120 )
cot(210 )
sin(135 )
cos(135 )
tan(135 )
sec(135 )
csc(135 )
cot(135 )
sin(690 )
cos(690 )
tan(690 )
sec(690 )
csc(690 )
cot(690 )
9. Find all  between 0 ,360
cos   
1
2
 that has the given function value
tan   1
sin  
3
2
The second part of the exam will be questions where you CAN use a calculator. Here are the types of questions that
you will see on this section:
Find the complement and supplement of the following angles
1.
3745'2"
Convert the following angle to decimal degrees (round to the nearest hundredth of a degree):
2.
1862'51"
Convert the following angle to degrees, minutes, seconds:
3.
25.77
Solve the following problem:
4. If a tree 20 ft tall casts a shadow 8 ft long, how long would the shadow of a 30 ft tree be at the same time
and place?
Find the values of the 6 trig functions for an angle in standard position having the following point on its terminal
side.
5.
 9, 2 
sin  = _________ csc = ___________
cos  = _________
sec = ___________
tan  = __________ cot  = ___________
Decide whether each statement is possible or impossible
6.
sec   
7.
2
3
tan  1.04235
Find values of the other trig functions given the following information:
8.
9.
tan  
7
and  is in Quadrant III
3
sin   _______
csc   _______
cos   _______
sec   _______
tan   _______
cot   _______
sin   _______
csc   _______
cos   _______
sec   _______
tan   _______
cot   _______
2
sin    and  is in Quadrant IV
3
Give the six trig function values of angle A given the following triangle:
10. d
13
A
12
sin A  _______
csc A  _______
cos A  _______
sec A  _______
tan A  _______
cot A  _______
5
Find one solution for each equation. Assume that all angles are acute angles:



11. tan 5  11  cot 6  2


12. sec 2  10
  csc  4  20 
13. sin  4   cos  5 
Use a calculator to find the function value. Round your answer to the nearest thousandth (4 decimal places)
14.
sin(49 22' )
15.
cot  61 49' 