warm-up! 1. graph one period in the positive and negative direction for y = -2cos(3x) – 1. 2....
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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 = 97Angle B1 = 53c1 = 19.9
Angle C2 = 23Angle B2 = 127c2 = 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:
sin A
C
B
A
c
b
a
a
c
Solve the triangle If Angle A = 42 , Angle C = 77 , c = 6
Angle B = 61 a = 4.1B = 5.4
6
7
5
4
3
21
Cal
Ben
Al
Which is the angle of depression for Ben as he looks at Cal?
4
Complete the given Ratio:
cos A
C
B
A
c
b
a
b
c
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:
cos B
C
B
A
c
b
a
a
c
Use your Calculator to find…
cos82 0.1392
Find the amplitude, period, and midline.
y = -2cos (2x) +3
Amplitude: 2Period: 180Midline: y = 3
Fill in the Blank…
If sin A = cos B then
Angle A and Angle B
are _____________.complementary
Write the equation of the trig funtion. y = sin(3x)
Complete the given Ratio:
tan B
C
B
A
c
b
a
b
a
Find x:
2sin(3 )cos( ) cos( )x x x
x = 90˚, 10˚
6
7
5
4
3
21
Cal
Ben
Al
Which is the angle of elevation for Cal as he looks at Ben?
7
sin 3520
x
Solve for x:
11.47x
Solve for x:
tan 4428
27.04
x
x
44
28
x
Find B, a, and c
Angle B = 29, a = 33, c = 28
14tan 41
x
Solve for x:
16.11x
Solve for x.
4cos (x) – 6 = -5.2
x = 78.5
Use your Calculator to find…
sin 23 0.3907
Solve for x:
cos368
6.47
12.94
y
y
x
8
x36
8
Classify the ∆ by sides and angles:
Scalene right
12cos72
x
Solve for x:
38.8x
Complete the given Ratio:
tan A
C
B
A
c
b
a
a
b
Solve ABC if mA = 25, a = 125, and
b = 150.
Case 1:Angle B = 31Angle C = 124c = 245
Case 2:Angle B = 149Angle C = 6c = 31
11cos
13x
Solve for x:
32.2x
Write the equation of the trig funtion. y = 4cos(3x)
Fill in the blank….
cos ___ sin 50 40
Solve for x:
28cos 44
38.9x
x
4428
x
Solve for x:
x84
18
x9
sin 42
13.45x
x
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:
sin B
C
B
A
c
b
a
b
c
Solve the triangle If Angle R = 37 , q = 8, p = 11
Angle Q = 43Angle P = 100r = 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: ½Period: 120Midline: y = -5
THE END!!