Trigonometry Pre Test

 

with solutions in green

 

You should attain a score of 7 or more to consider yourself proficient

 

 

 

  1. A right triangle has legs of 16 and 30 feet. How long is its hypotenuse?

a)   46 feet       b)  34 feet       c)   feet         d)17 feet

 

  1. One leg of a triangle is  12 inches while the hypotenuse is 13 inches. How long is the other leg?

 

a)  5 inches               b)  1 inch              c)  25 inches           d)  12 inches

 

  1. A right triangle is shown below.  What is  cos(A)?

a)  21        b)  20   c)  21/29       d)  20/29

 

  1. A triangle has sides of lengths   6,8 and 9 units. Is it a right triangle?

 

a) yes            b)  no  (the 9 side should be 10)

 

  1. A right triangle is shown. What is the value of  A?

 

 

a)     30          b)  20             c) 10                  d) 

 

 

  1. A right triangle is shown. What is the value of  A?

 

 

a)  2               b)  3/2                c)  3            d)  4 

 

7.  If  cos(α) = 2/3   what is the value of  sin(α) ?

 

a)             b)  1/3          c)  5        d)  2/3 

 

 

8.    If  cos(α) = 2/3   what is the value of  tan(α) ?

 

a)             b)          c)  5        d)  1/3 

 

  1. What is  30 degrees converted to radians?

 

a)  3 radians         b)  π radians        c)  π/9 radians        d) π/6 radians       

 

 

  1. for x between  0 and  24 π radians , how many complete oscillations does the function  sin(x)  make?

 

a)  1        b)  24       c)  12   d)  2 π    (1 oscillation  every 2π  units on the x axis )