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