Trigonometry
Using your calculator to find
Trigonometric Ratios & Angles #4
Name______________________________________________________
I.
Use your calculator to find each to the nearest thousandth:
a.
sin15 = h.
cot 34.7 =
b.
cos 42 = i.
sec 49 =
c.
tan 56 = j.
csc 23 =
d.
cos 85.9 = k.
cot 81 =
e.
sin 62.5 = l.
sec 45 =
f.
cos 78 = m.
cot13 =
g.
tan 22.6 = n.
sec19 =
II.
Use your calculator to find the degree measure of the angle A to the nearest degree:
a.
sin A = .4226 k.
cot A = 1.4281
b.
cos A = .9511 l.
sec A = 1.0038
c.
tan A = .7536 m.
csc A = 4.1336
d.
sin A = .7431 n.
cot A = .5317
e.
cos A = .3090 o.
sec A = 6.3925
f.
tan A = 2.9042 p.
csc A = 1.2521
g.
sin A = .6025 q.
cot A = 7.1280
h.
cos A = .1123 r.
sec A = 1.0550
i.
tan A = 8.2557 s.
csc A = 1.4812
j.
cos A = .0775 t.
cot A = .4372
_______
_______
Trigonometry
_________
________
______
________
Using your calculator to find
Trigonometric Ratios & Angles #4
Trj’
The Old Fashion Way
Notice that the total of th ,iumijer uf dqrec° tn the loft (intl to th riqht in a?iy
horizontal roil’ is 90 making the arigle involved complementary
The fin di uac at thc top and bdtnn of any rertical column are cofunctions
TABLE OF FUNCTIONS OF ACUTE ANGLES
10
____i
.0175
2°
.0349
I
cos
tan
.9998
.0175
.0349
.9994
csc
57.2900
1.0002
1.0006
57.2987
28.6363
.9962
.9945
.9925
.9903
.1051
.1228
.1405
9.5144
8.1443
7.1154
.9877
.1584
6.3138
.0523
.0698
.0872
80
7°
8°
9°
10°
.1045
.1219
.1392
.1564
.1736
11°
12°
13°
14°
15°
.1908
.2079
.2250
.2419
.2588
16°
17°
18°
19’
20°
.2756
.2924
.3090
.3256
.3420
.9613
.9563
.9511
.9455
.9397
.3640
21°
.3584
.3746
.3907
.4067
.4226
.9336
.9272
9205
.3839
.4040
4245
.9063
.4663
22°
23°
24°
25°
see
.0524
.0699
.0t75
3°
4’
5°
cot
.9986
9976
19.0811
14.3007
11.4301
1.0014
1.0024
L0038
1.0055
1.0075
1.0098
5.2408
4.8097
4.4454
4.1336
3.8637
.2867
.3057
.3249
3.4874
3.2709
3.0777
2.9042
2.7475
1.0403
1.0457
1.0515
1.0576
1.0642
3.6280
3.4203
3.2361
3.0716
2.9238
740
2.6051
2.4751
2 3559
2.2460
2.1445
1.0711
2.7904
69°
68°
.9703
.9659
.9135
.3443
.4452
.8572
.8480
.8387
.6009
.6249
.6494
1.6643
1.6003
1.5399
.5736
.8192
.7002
.6745
36°
.5878
.6018
.6157
.6293
.8090
.7986
.7880
.7265
.7536
.7813
.7660
.8391
.6561
.6691
.7547
.7431
.8693
42°
43°
44°
45°
.6820
.6947
81°
1.0187
1.0223
1,0263
1.0306
1.0353
.8290
.7771
.7314
.7193
.8098
.9004
.9325
.9657
.7071
.7071
1.0000
cos
sin
cot
1.9626
1.8807
1.8040
1,7321
1.0785
5.7588
2.6695
2.5593
80°
77°
76°
750
73°
72°
71°
70°
1.1126
1.1223
2.2812
2.2027
64°
63°
1.1434
1.1547
1.1326
2.1301
2.0627
2.0000
61°
60°
1,1666
1.9416
1.1792
1.8871
59°
1.4826
1.2062
1.7883
1.4281
1.2208
1.7434
1.3764
1.3270
1.2799
1.2349
1.1918
1.2361
1.2521
1.2690
1.2868
540
1.3054
1.7013
1.6616
1.6243
1.5890
1.5557
1.1504
1.1106
1.3250
1.5243
49°
1.0000
1.3456
1.3673
1.3902
1.4142
1.4945
1.4663
1.4396
1.4142
tan
ese
sec
tt
secant
‘i
varyIng
‘
ity ircrca
ff,u u,
’
1
..
inc;pl 2
p ‘.rc
mItt.
‘u-’li’u.
Th
,ing’le and
670
66°
65°
1.0724
1.0355
I
i
79°
2.4588
2.3662
1.8361
This ala;
780
1 0864
1.0946
1.1034
1.1924
1
83’
82°
5.1448
4.7046
43315
40108
3.7321
.5150
.5299
.5446
41°
840
.1944
.2128
.2309
.2493
.2679
310
32°
33°
34°
35°
.6428
6.3925
(f an
850
.9816
.9781
.9744
.8660
38°
39°
40°
8.2055
7.1853
87°
86°
1.0154
2.0503
370
9.5688
ni
i’n ox arvirig
ae tie
88°
5.6713
.4877
.5095
.5317
.5543
.5774
.5592
11.4737
ti
89°
.1763
.8988
.8910
.8629
.8746
2S°
29°
30°
19.1073
14.3356
f
CHANGES IN
OPPOSITE S
.9848
.4384
.4540
.4695
.4848
.5000
26°
270
1.0125
28.6537
Reference tu
c m larly. a i o
a
1. T
‘l
2. T
f
62°
c
58°
57°
56°
55°
53°
52°
51°
50°
48°
47°
46°
45°
hi 1 4
1.
t
il
Jr
1
5 ct;
tate
6
Jr. 11 16. t’t
;’
5
On
f
give’
to
ii
12