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Trigonometry Self Quiz

1. Find exactly:
            a.
            b. tan
            c. cos
            d.

2. If and , where is an angle in standard position:
            a. In what quadrant is located?
            b. Use reference triangles to find .
            c. Compute .

3. Consider the following statement: “For some real angle , .” Is this
    possible? Explain why or why not.

 

4.  Give at least two definitions of , where is a real number.

 

5. Compute the volume and surface area of a sphere of radius 5.

 

6. Is the point  on the graph of  some real number k? If it is, give a possible value for k; if not, explain why.

 

7. Given the right triangle below, find
            a. sin (A)
            b. cos(B)
            c. csc(A)
            d. tan(A)

 

8.  Suppose the angle of elevation of the sun is 26.4°.  Find the length of the shadow cast by a 16-foot flagpole.