Part 4 | Test 1 | Time: 3 hours |
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- Find the exact solution(s) to the equation

**Answer:**There is no solution because*x*=3 is**not**in the domain of the original equation. - If , find .

**Answer:** - Write the following trigonometric expression as an algebraic
expression in x:

**Answer:** - Find two angles that have the point (-3,7) on the terminal side
of the angle.

**Answer:**The two angles are , and . - Building A and Building B are 100 feet apart. If the angle of
depression from the top of Building A to the top of Building B is 10
degrees, how much taller is Building A than Building B?

**Answer:**Building A is 17.6 feet higher than Building B. - Find the exact value of

**Answer:**The exact value is 1. - Concerning the following function
- What is the period of the function?

**Answer:**The period of the function*f*(*x*) is . - What is the amplitude of the function?

**Answer:**The amplitude of the function*f*(*x*) is 3. - What is the maximum value of the function?

**Answer:**The maximum value of the function*f*(*x*) is 14.

- What is the period of the function?
- Where do the graphs of the functions ,
and intersect on the interval [6,14]?

**Answer:**The are two points of intersection which are approximately (9.032,7.791) and (9.605,7.027). - Find the approximate range of the function

**Answer:**The range of the function*f*(*x*) is approximately [-2.889,2.889]. - The graph of the function
is bounded by two graphs. What are the equations of the boundary graphs?

**Answer:**The graph of the function is bounded above by the line , and below by the line . - What is the phase shift of the graph of

**Answer:**The phase shift of the graph is . - Restrict the domain of the function so that
its inverse exists.

**Answer:**The restricted domain is . There are many other solutions, e.g. . - Find .

**Answer:**The expression is not defined, since the domain of the function is [-1,1], and 2 does not lie in this interval. - If point A is located at (2,3) and point B is located at
(-8,14), give the bearing and distance from point A to point B.

**Answer:**The bearing from point A to point B is . The distance from point A to point B is . - In triangle ABC, angle equals 40 degrees, angle
equals 30 degrees, and side AB equals 10 inches. Find
the exact value of side AC.

**Answer:**The exact value of side AC is - Convert 150 radians to degrees in the degree-minute-second
format.

**Answer:**. - Find the equation of the circle that passes through the points
(2,3), (7,1), (9,5).

**Answer:**The equation of the circle is - If , and the terminal side of
*t*is located on the second quadrant, find .

**Answer:**.

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