Download Use a calculator to evaluate the trigonometric function

Acc. Alg. II
W.S. 13.1 (day 2)
Name ________________________________
Assign. # _____
Use a calculator to evaluate the trigonometric function. Round your answer to the nearest
10,000th.
1.
sin 1421’32”
2.
sec 2346’
3.
tan 5958’20”
4.
csc 8027’3”
5.
cot 180
6.
cos 30
7.
sec 90
8.
tan 90
Use a calculator to find the value of the angle to the nearest minute.
9.
tan  = 1.3141
10.
sec  = 2.3172
11.
cos  = 0.8627
12.
sin  = 2.5
13.
csc  = 1.4128
14.
tan  = 1
15.
cos  = 0.5
For ex. 16-19, do not use a calculator. Give exact answers. For credit, show work!
16.
Given the tan  =
17.
Given sin  =
3 , find sin .
4
, find cot .
5
Acc. Alg. II – WS 13.1 (day 2)
Page 2
18.
Given sec  = 3, find sin .
19.
Given sin  =
20.
You are given sin  = 0.48 where  is an acute angle. Explain how to find the cos .
21.
Consider a right triangle that has  as one of its acute angles. The length of the adjacent
side is 2, and the tangent of  is ¼.
3
, find tan .
2
What is the length of the opposite side?
What is the length of the hypotenuse?
Solve each triangle. Give angle measures to the nearest minute, unless they belong to a special
right triangle. Give side lengths to the nearest 10th. Show the steps you used to find each
measure. If the  is a special right triangle, do not use a calculator and keep answers exact. If
sides are given as radicals, answers should be in simplest radical form.
22.
Acc. Alg. II – WS 13.1 (day 2)
23.


24.


25.
Page 3
Acc. Alg. II – WS 13.1 (day 2)
Page 4
26.


27.
12
AC 

28.



Answers:
1.
9.
 0.2480
 5244’
17.
23.
27.
¾
19.
 10.4,  6.7, 50
 5.1,  10.9,  65
2.
11.
 1.0927
 3023’
3
25.
28.
5.
13.
undefined
 453’
21.
½, 17 2
5, 60, 30
 6.3,  5518’,  3442’
15.
6.
60
 0.8660