Transcript TRIG TEST REVIEW - Ms. Tiscia's Math Classes

Warm-up!
1.
Graph one period in the positive and negative direction for
y = -2cos(3x) – 1.
2.
Solve the triangle given b = 16, a = 10, and angle A = 30.
Round angles to the nearest degree and sides to the
tenths place
3.
The pilot of an airplane finds the angle of depression to
an airport to be 16 degrees. If the altitude of the plane is
6000 meters, find the horizontal distance to the airport.
Warm-up Answers!
1.
Graph one period in the positive and negative direction for
y = -2cos(3x) – 1.
Amplitude = |A| = |-2| = 2
graph is reflected over
x-axis due to A = -2
Period = 360/B = 360/3
= 120 degrees
Midline
y=D
y = -1
Warm-up Answers!
2. Solve the triangle given b = 16, a = 10, and angle A = 30.
SSA & side across from angle is shorter than
other side -> check for ambiguous case!
Angle C1 = 97
Angle B1 = 53
c1 = 19.9
Angle C2 = 23
Angle B2 = 127
c2 = 8
Warm-up Answers!
3. The pilot of an airplane finds the angle of depression to an
airport to be 16 degrees. If the altitude of the plane is
6000 meters, find the horizontal distance to the airport.
20,924 meters
(use tan)
Homework Answers
Homework Answers
Homework Answers
Homework Answers
Homework Answers
Homework Answers
TRIG TEST
REVIEW
Pick up by the window:
Whiteboard (each person)
Marker (each person)
Eraser (share with partner)
Complete the given Ratio:
B
a
C
c
b
a
sin A  c
A
Solve the triangle

If Angle A = 42 , Angle C = 77 , c = 6
Angle B = 61 
a = 4.1
B = 5.4
Which is the angle of depression for
Ben as he looks at Cal?
Al
2
1
3
Ben
4
5
6
Cal
7
4
Complete the given Ratio:
B
a
C
c
b
b
cos A 
c
A

A person is standing 50 meters from a
traffic light. If the angle of elevation from
the person to the top of the traffic light is 25
degrees, find the height of the traffic light.
23 meters
Complete the given Ratio:
B
a
C
c
b
a
cos B 
c
A
Use your Calculator to find…
cos82
 0.1392
Find the amplitude, period, and
midline.

y = -2cos (2x) +3
Amplitude: 2
Period: 180
Midline: y = 3
Fill in the Blank…
If sin A = cos B then
Angle A and Angle B
complementary
are _____________.
Write the equation of the trig
funtion.
y = sin(3x)
Complete the given Ratio:
B
a
C
c
b
b
tan B 
a
A
Find x:
2sin(3x) cos( x)  cos( x)
x = 90˚, 10˚
Which is the angle of elevation for Cal
as he looks at Ben?
Al
2
1
3
Ben
4
5
6
Cal
7
7
Solve for x:
x
sin 35 
20
x  11.47
Solve for x:
28
x
44
x
tan 44 
28
x  27.04
Find B, a, and c
Angle B = 29, a = 33, c = 28
Solve for x:
14
tan 41 
x
x  16.11
Solve for x.
4cos (x) – 6 = -5.2
x = 78.5
Use your Calculator to find…
sin 23
 0.3907
Solve for x:
8
8
36
x
y
cos 36 
8
y  6.47
x  12.94
Classify the ∆ by sides and angles:
Scalene right
Solve for x:
12
cos 72 
x
x  38.8
Complete the given Ratio:
B
a
C
c
b
a
tan A 
b
A
Solve ABC if mA = 25, a = 125, and
b = 150.
Case 1:
Angle B = 31
Angle C = 124
c = 245
Case 2:
Angle B = 149
Angle C = 6
c = 31
Solve for x:
11
cos x 
13
x  32.2
Write the equation of the trig
funtion.
y = 4cos(3x)
Fill in the blank….
cos ___
40  sin 50
Solve for x:
28
x
44
28
cos 44 
x
x  38.9
Solve for x:
x
84
18
x
9
sin 42 
x
x  13.45
A cliff is 90 feet above the sea. From the cliff,
the angle of depression of a boat measures
46 degrees. How far is the boat from the
base of the cliff?
86 feet
Complete the given Ratio:
B
a
C
c
b
b
sin B 
c
A
Solve the triangle

If Angle R = 37 , q = 8, p = 11
Angle Q = 43
Angle P = 100
r=7
Find the area:

If Angle R = 37 , q = 8, p = 11
Area = 26.5
Classify the ∆ by sides and angles
Obtuse isosceles
Find the amplitude, period, and
midline.

y = (1/2)sin (3x) – 5
Amplitude: ½
Period: 120
Midline: y = -5
THE END!!