Math 162 Test 2 Practice Problems A
Find the amplitude, period, and phase shift and sketch the graph of the following functions.
y = - 3sin (x + 2)
y = cos (3(x - 2))
y = 4sin ( x - π )
y = 2sin (x)
y = cos (2x - 3)
y = sin ( x + π )
Solve the following right triangles for the given angle or side.
2.5 r
.3rads 60o
x 25
15 a
50o
A 25 foot ladder leans against a wall, making an angle 75o with the level ground. How high up the wall is the top of the ladder.
Sketch the angles in standard position that have the following measures.
-250o 5π/2rads 150o
Convert the following degree measure to radian measure.
160o 225o 150o - 50o
Convert the following radian measure to degree measure
3π 1.5π 3π/2 5
Give three different measures of one angle in standard position.
If cos(α) = -2/7 and α is in the second quadrant, find sin(α)=
If sin(α) = -3/4 and tan(α) >0, find tan(α)=
If sin(α) = 4/7 and α is in quadrant two, find sec(α)=
In problems below, find the value of the function:
cot(55o) =
sec(- 2.22) =
cos(-3.5) =
csc (π/5) =
cot(150o) =
tan(-60o) =
sin( 225o) =
csc(7π/6) =
tan(-60o) =
sin(5π/6) =
Given triangle ABC, find the indicated side or angle in the following questions.
1. C = 120o, a = 8, b = 10, Find angle B.
2. A = 2rads, a = 46, b = 34, find side c.
3. A = 150o, b = 35, c = 40, find side a.
4. B = 60, a = 10, b = 15, find angle A
5. A = 42o, B = 75o, a = 14, find side b.
6. a = 5, b = 6, c = 7, find angle A.
7. A = 30o, a = 8, b = 12, find angle B.
8. A triangular garden plot has sides of length 35 meters, 40 meters, and 60 meters. Find the largest angle of the triangle