Sample test
 
 

1) Convert each degree measure to radians. Leave answers in terms of p.
a) 250o = b) -210o = c) 160o d) -120o =
 
 

2) Convert each radian measure to degrees.
 
a) 4p/3 = b) -2p/3 = c) -11p/6 = d) 7p/4 =
 
 

3) Convert each degree measure to radians. Give answers to the nearest hundredth of a radian.
 
a) 112o = b) 252.5o = c) 210o35’ =
 
 

4) Convert each radian measure to degrees. Give answers to nearest tenth of a degree. Bonus of one point for the section if you also write answers to the nearest ten minutes.
 
a) 1.8 = b) 3.5 =  c) 2.41 =
 

5) Find two angles, one positive and one negative that are coterminal with each given angle. If problem is given in p rads give answer in simpified p rads.
 
a) 980o b) 240o25’ = c) 4p/3 =
 
 

6) Given the point (1, -2) on the terminal side of an angle, find the value of all six trig functions.
 
 
 
 
 

7) Express each of the following in terms of a reference angle.
a) sin 185o = b) cos 320o = c) tan (-145o) =  d) cot (-290o) =
 
e) sec 3 = f) csc 5 =
 
 

8) Find the value of each expression to four significant digits.
a) sin 142.5o = b) csc 224o c) cos 300o12’ = d) sec 401o =
 
 
d) tan 6 = e) cot 7.28 = f) sec 5.1 = g) cot (-1.2) =
 
 
 
 

9) Find each value to the nearest tenth of a degree.
 
a) Sin-1.85 =     b) Cos-1(-.28) =   c) Cot-15.31 =   d) Sec-120.5 =
 
 
 

10) Find each value to the nearest hundredth of a radian.
 
a) Tan-10.56 =   b) Cot-16.35 =   c) Sin-1.76 =     d) Sec-13.1 =
 
 
 

11) Find each value to four significant digits.
 
a) Tan(Cos-111/12) =     b) Sin(Cos-11/5) =     c) Csc(Tan-11.12) =
 

12) Fill in the following chart with the exact values that you memorized.
 
  Angle   Sin q   Cos q   Tan q   Csc q   Sec q   Cot q
 
 
  0    ____   ____   ____   ____   ____   ____
 
 
  30    ____   ____   ____   ____   ____   ____
 
 
  45    ____   ____   ____   ____   ____   ____
 
 
  60    ____   ____   ____   ____   ____   ____
 
 
  90    ____   ____   ____    ____   ____   ____
   
 
 

13) On graph paper graph each of the following trig functions.
 
 
a) y = cos x       b) y = tan x       c) y = csc x
     
 
 


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