2009 Mu Alpha Theta State Convention
Written Trigonometry Test
1) Convert to degrees.
a) 4.19° b) 24° c) 240° d) 1.67°
2) Convert the polar coordinate to a rectangular coordinate.
a) b) c) d)
3) What is the exact value of sin15° ?
a) b) c) d)
4) Which of the graphs of the six trigonometric functions contain the point ?
a) y = sinx & y = cosx b) y = cosx & y = cotx
c) y = sinx & y = tanx d) y = cosx & y = tanx
5) Simplify the expression:
a) b) c) d) 1
6) Write the trigonometric form of the complex number .
a) b) c) d)
7) Compute the product when and
a) 12 b) 12i c) 0 d)
8) Find the area (rounded to the nearest whole number) of a triangle with side lengths 7m,10m
and 12m.
a) 65m2 b) 42m2 c) 35 m2 d) none of these
9) Find the measure of the angle formed by the diagonal of the base of a cube and the diagonal
of the cube if each side of the cube measures 7 inches.
a) 35.26° b) 54.74° c) 45° d) not enough information
10) Two bridges run parallel to one another and are both 16 feet high. The driver of a car
traveling over one of the bridges observes a car going underneath the other bridge and
estimates the angle of depression to the other car to be 20°. What is the distance between
the two bridges?
a) 6 ft b) 91 ft c) 44 ft d) 46 ft
11) What is the radius of the circle in which a central angle measuring creates a sector with
an area of in2 ?
a) 45 in b) 90 in c) in d) in.
12) The wheels on a bike have a radius of 15 inches. If the wheels are making 120 revolutions
each minute, approximately how fast is the cyclist traveling in miles per hour?
a) 1.7 mph b) 10.7 mph c) 8 mph d) none of these
13) What is the domain of the function ?
a) b) c) d) , is an integer
14)
a) b) 1 c) d) undefined
15) The unit vector pointing in the same direction as the vector is __ .
a) b) c) 12i + 5j d) 5i + 12j
16) Find all solutions for in the interval
a) b) c) d)
17) Find the measure of an acute angle of a right triangle included between sides with
measures of 7cm and 19cm. (Rounded to the nearest tenth)
a) 68.4° b) 21.6° c) 20.22° d) 69.8°
18) At a point 15 feet from the base of a tree you spot a squirrel in the tree. You estimate the
angle of elevation to the top of the tree to be 60° and the angle of elevation to the squirrel
to be 50°. How far from the top of the tree is the squirrel?
a) 25.9 ft b) 8.1ft c) 25.9 ft d) none of these
19) Solve in the interval .
a) b) c) d)
20) Approximately what size central angle must be formed by two 2 feet pieces of material
joined at one end (center of circle) and cutting an arc of length 3.56 feet?
a) 1.78° b) 45° c) 51° d) 102°