Lesson 4.4

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Transcript Lesson 4.4 

homework
p.284-285 #3-99x3
#3
Determine the six trig functions of an angle whose
terminal side contains ( 3,1)
#3
Determine the six trig functions of an angle whose
terminal side contains ( 3,1)
#6
Determine the six trig functions of an angle
whose terminal side contains (8,15)
#6
Determine the six trig functions of an angle
whose terminal side contains (8,15)
#9
Determine the six trig functions of an angle
whose terminal side contains (-4,10)
#9
Determine the six trig functions of an angle
whose terminal side contains (-4,10)
#12
Determine the six trig functions of an angle
whose terminal side contains (3,-9)
#12
Determine the six trig functions of an angle
whose terminal side contains (3,-9)
#15
State the quadrant in which
cot  > 0 and cos  > 0

lies.
#15
State the quadrant in which
cot  > 0 and cos  > 0

lies.
#18
Find the values of the six trigonometric functions of  .
3

Lies in Quadrant III
sin  
5
#18
Find the values of the six trigonometric functions of  .
3

Lies in Quadrant III
sin  
5
#21
Find the values of the six trigonometric functions of  .
sec   2
0 
#21
Find the values of the six trigonometric functions of  .
sec   2
0 
#24
Find the values of the six trigonometric functions of  .
tan  is undefined.
    2
#24
Find the values of the six trigonometric functions of  .
tan  is undefined.
    2
#27
The terminal side of  lies on the line 2x-y=0 in
Quadrant III. Give the six trig values by finding a
point on the line.
#27
The terminal side of  lies on the line 2x-y=0 in
Quadrant III. Give the six trig values by finding a
point on the line.
#30
Evaluate the trigonometric function of the quadrant
angle. tan 
2
#30
Evaluate the trigonometric function of the quadrant
angle. tan 
2
#33
Evaluate the trigonometric function of the quadrant
angle.
sec0
#33
Evaluate the trigonometric function of the quadrant
angle.
sec0
#36
Evaluate the trigonometric function of the quadrant
angle. csc 
2
#36
Evaluate the trigonometric function of the quadrant
angle. csc 
2
Reference Angle
If θ is in standard position, then the reference
angle θ′ associated with θ is the acute angle
formed by the terminal side of θ and the x-axis.
* Never make a reference angle to the
y-axis!
#39
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   135
'
#39
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   135
'
#42
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   3
'
4
#42
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   3
'
4
#45
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   208
'
#45
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   208
'
#48
Find the reference angle  for the special angle 

'


95


Then sketch and in standard position.
'
#48
Find the reference angle  for the special angle 

'


95


Then sketch and in standard position.
'
#51
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   3.68
'
#51
Find the reference angle  for the special angle 
'

Then sketch and  in standard position.   3.68
'
#54
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.

  300
#54
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.

  300
#57
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.

  240
#57
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.

  240
#60
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
3

4
#60
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
3

4
#63
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
11

4
#63
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
11

4
#66
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
20

3
#66
Evaluate the sine, cosine, and tangent of the
angle without using a calculator.
20

3
#69
Find the indicated trig value in the specified
quadrant. tan   3
Quadrant III
2
#69
Find the indicated trig value in the specified
quadrant. tan   3
Quadrant III
2
#72
Find the indicated trig value in the specified
quadrant. sec    9
Quadrant III
4
#72
Find the indicated trig value in the specified
quadrant. sec    9
Quadrant III
4
#75
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

sin10
#75
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

sin10
#78
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

csc 320
#78
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

csc 320
#81
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

sec(280 )
#81
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.

sec(280 )
#84
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
sin(.65)
#84
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
sin(.65)
#87
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
2
tan
9
#87
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
2
tan
9
#90
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
15
cos( 
14
)
#90
Use a calculator to evaluate the trig function.
Round your answer to four decimal places.
15
cos( 
14
)
#93
Find two solutions of the equation. Give your
answers in degrees 0    360 and in radians
0    2 . Do not use a calculator.
a) csc   2 3
b) cot   1
3
#93
Find two solutions of the equation. Give your
answers in degrees 0    360 and in radians
0    2 . Do not use a calculator.
a) csc   2 3
b) cot   1
3
#96
Find two solutions of the equation. Give your
answers in degrees 0    360 and in radians
0    2 . Do not use a calculator.
a) cot    3
b) sec   2
#96
Find two solutions of the equation. Give your
answers in degrees 0    360 and in radians
0    2 . Do not use a calculator.
a) cot    3
b) sec   2
#99
An airplane flying at an altitude of 6 miles is
on a flight path that passes directly over
an observer. If  is the angle of elevation
from the observer to the plane, find the
distance from the observer to the plane
when (a)  30 (b)   90 (c)  120
#99
An airplane flying at an altitude of 6 miles is on a flight path
that passes directly over an observer. If  is the angle
of elevation from the observer to the plane, find the
distance from the observer to the plane when
(a)   30
(b)   90 (c)   120