Practice Exam III
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find all solutions of the equation.
3
1) tan x =
1)
3
2) tan x sec x = -2 tan x
2)
Solve the equation on the interval [0, 2π).
3) cos 2 x + 2 cos x + 1 = 0
3)
4) cos x = sin x
4)
5) sin 2 x - cos 2 x = 0
5)
6) sin 2 x + sin x = 0
6)
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle,
two triangles, or no triangle at all. Solve each triangle that results. Round lengths to the nearest tenth and angle measures
to the nearest degree.
7) A = 30°, a = 22, b = 44
7)
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
8) A = 38°
8)
B = 32°
a = 42.1
Polar coordinates of a point are given. Find the rectangular coordinates of the point.
9) (-5, -180°)
9)
Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
10) a = 8, b = 14, c = 16
10)
11)
11)
8
6
4
1