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Assignment #1: page 933 #’s 1323,30-32,(38)
Find the value of the sine, cosine, and tangent functions for ϴ.
13)
14)
1
sin  
3
2 2
cos  
3
tan  
2
4
15)
2 2
sin  
3
1
cos 
3
tan   2 2
sin  
5 41
41
4 41
41
5
tan  
4
cos  
Use a trigonometric function to find the value of x.
16)
75 2
17)
18)
140
5 3
19) Today, the Great Pyramid in Egypt is not as tall as when it was originally
built. The square base of the pyramid has a side length of 230 m, and the
sides of the pyramid meet the base at an angle of 52˚.
A) What was the original height of the
pyramid to the nearest meter? 147 m
B) What was the original slant height of the
pyramid to the nearest meter? 187 m
20) The top of the Matagorda Island Lighthouse in Texas is about
90 ft above sea level. The angle of elevation from a fishing boat
to the top of the lighthouse is 10˚.
A) To the nearest foot, what is the distance d between the boat and the base
of the lighthouse? 510 ft
B) After the boat drifts for half an hour, the angle of elevation has decreased
to 4.5˚. To the nearest foot, how much farther has the boat moved from
the lighthouse? 633 ft
Find the values of the six trig functions for ϴ.
4
5
sin  
csc  
5
4
3
5
cos  
sec  
5
3
4
3
tan  
cot  
3
4
sin  
17
17
csc  17
17
4 17
sec 
cos  
17
4
1
cot   4
tan  
4
2
sin  
2
2
cos 
2
tan   1
csc   2
sec   2
cot   1
30) Which of the following is equal to cos 27˚?
A)
B)
C)
D)
csc 63˚
sec 63˚
tan 63˚
sin 63˚
31) Which expression represents the length of
F) 12cot27˚
G) 12csc27˚
H) 12sin27˚
J) 12tan27˚
RS
?
32) If
A) 3
5
B) 4
5
C) 5
4
D)
4
3
tan  
3
4
, what is
cos
?