三角比の表(sin cos tan 30° 45° 60° 120°…の値)

\[ \begin{array}{cccc} \hline \theta & \sin{\theta} & \cos{\theta} & \tan{\theta} \\ \hline 0^{\circ} & 0 & 1 & 0 \\ \hline 30^{\circ} & \dfrac{1}{2} & \dfrac{\sqrt{3}}{2} & \dfrac{1}{\sqrt{3}} \\ \hline 45^{\circ} & \dfrac{1}{\sqrt{2}} & \dfrac{1}{\sqrt{2}} & 1 \\ \hline 60^{\circ} & \dfrac{\sqrt{3}}{2} & \dfrac{1}{2} & \sqrt{3} \\ \hline 90^{\circ} & 1 & 0 & ? \\ \hline 120^{\circ} & \dfrac{\sqrt{3}}{2} & -\dfrac{1}{2} & -\sqrt{3} \\ \hline 135^{\circ} & \dfrac{1}{\sqrt{2}} & -\dfrac{1}{\sqrt{2}} & -1 \\ \hline 150^{\circ} & \dfrac{1}{2} & -\dfrac{\sqrt{3}}{2} & -\dfrac{1}{\sqrt{3}} \\ \hline 180^{\circ} & 0 & -1 & 0 \\ \hline \end{array} \]

$\tan{90}^{\circ}$ に?とつけていますが、これは定義できない、存在しないという意味です。

\[ \tan{\theta}=\frac{\sin{\theta}}{\cos{\theta}} \]

タンジェントは、コサインが分母にあるため、コサインが 0 のときはタンジェントは存在しないのです。

三角関数の表(一般角)

\[ \begin{array}{cccc} \hline \theta & \sin{\theta} & \cos{\theta} & \tan{\theta} \\ \hline 0^{\circ} & 0 & 1 & 0 \\ \hline 30^{\circ} & \dfrac{1}{2} & \dfrac{\sqrt{3}}{2} & \dfrac{1}{\sqrt{3}} \\ \hline 45^{\circ} & \dfrac{1}{\sqrt{2}} & \dfrac{1}{\sqrt{2}} & 1 \\ \hline 60^{\circ} & \dfrac{\sqrt{3}}{2} & \dfrac{1}{2} & \sqrt{3} \\ \hline 90^{\circ} & 1 & 0 & ? \\ \hline 120^{\circ} & \dfrac{\sqrt{3}}{2} & -\dfrac{1}{2} & -\sqrt{3} \\ \hline 135^{\circ} & \dfrac{1}{\sqrt{2}} & -\dfrac{1}{\sqrt{2}} & -1 \\ \hline 150^{\circ} & \dfrac{1}{2} & -\dfrac{\sqrt{3}}{2} & -\dfrac{1}{\sqrt{3}} \\ \hline 180^{\circ} & 0 & -1 & 0 \\ \hline 210^{\circ} & -\dfrac{1}{2} & -\dfrac{\sqrt{3}}{2} & \dfrac{1}{\sqrt{3}} \\ \hline 225^{\circ} & -\dfrac{1}{\sqrt{2}} & -\dfrac{1}{\sqrt{2}} & 1 \\ \hline 240^{\circ} & -\dfrac{\sqrt{3}}{2} & -\dfrac{1}{2} & \sqrt{3} \\ \hline 270^{\circ} & -1 & 0 & ? \\ \hline 300^{\circ} & -\dfrac{\sqrt{3}}{2} & \dfrac{1}{2} & -\sqrt{3} \\ \hline 315^{\circ} & -\dfrac{1}{\sqrt{2}} & \dfrac{1}{\sqrt{2}} & -1 \\ \hline 330^{\circ} & -\dfrac{1}{2} & \dfrac{\sqrt{3}}{2} & -\dfrac{1}{\sqrt{3}} \\ \hline 360^{\circ} & 0 & 1 & 0 \\ \hline \end{array} \]

参考:三角比の表(1°ごと)

角度 sin cos tan
0 0 1 0
1 0.017452406 0.999847695 0.017455065
2 0.034899497 0.999390827 0.034920769
3 0.052335956 0.998629535 0.052407779
4 0.069756474 0.99756405 0.069926812
5 0.087155743 0.996194698 0.087488664
6 0.104528463 0.994521895 0.105104235
7 0.121869343 0.992546152 0.122784561
8 0.139173101 0.990268069 0.140540835
9 0.156434465 0.987688341 0.15838444
10 0.173648178 0.984807753 0.176326981
11 0.190808995 0.981627183 0.194380309
12 0.207911691 0.978147601 0.212556562
13 0.224951054 0.974370065 0.230868191
14 0.241921896 0.970295726 0.249328003
15 0.258819045 0.965925826 0.267949192
16 0.275637356 0.961261696 0.286745386
17 0.292371705 0.956304756 0.305730681
18 0.309016994 0.951056516 0.324919696
19 0.325568154 0.945518576 0.344327613
20 0.342020143 0.939692621 0.363970234
21 0.35836795 0.933580426 0.383864035
22 0.374606593 0.927183855 0.404026226
23 0.390731128 0.920504853 0.424474816
24 0.406736643 0.913545458 0.445228685
25 0.422618262 0.906307787 0.466307658
26 0.438371147 0.898794046 0.487732589
27 0.4539905 0.891006524 0.509525449
28 0.469471563 0.882947593 0.531709432
29 0.48480962 0.874619707 0.554309051
30 0.5 0.866025404 0.577350269
31 0.515038075 0.857167301 0.600860619
32 0.529919264 0.848048096 0.624869352
33 0.544639035 0.838670568 0.649407593
34 0.559192903 0.829037573 0.674508517
35 0.573576436 0.819152044 0.700207538
36 0.587785252 0.809016994 0.726542528
37 0.601815023 0.79863551 0.75355405
38 0.615661475 0.788010754 0.781285627
39 0.629320391 0.777145961 0.809784033
40 0.64278761 0.766044443 0.839099631
41 0.656059029 0.75470958 0.869286738
42 0.669130606 0.743144825 0.900404044
43 0.68199836 0.731353702 0.932515086
44 0.69465837 0.7193398 0.965688775
45 0.707106781 0.707106781 1
46 0.7193398 0.69465837 1.035530314
47 0.731353702 0.68199836 1.07236871
48 0.743144825 0.669130606 1.110612515
49 0.75470958 0.656059029 1.150368407
50 0.766044443 0.64278761 1.191753593
51 0.777145961 0.629320391 1.234897157
52 0.788010754 0.615661475 1.279941632
53 0.79863551 0.601815023 1.327044822
54 0.809016994 0.587785252 1.37638192
55 0.819152044 0.573576436 1.428148007
56 0.829037573 0.559192903 1.482560969
57 0.838670568 0.544639035 1.539864964
58 0.848048096 0.529919264 1.600334529
59 0.857167301 0.515038075 1.664279482
60 0.866025404 0.5 1.732050808
61 0.874619707 0.48480962 1.804047755
62 0.882947593 0.469471563 1.880726465
63 0.891006524 0.4539905 1.962610506
64 0.898794046 0.438371147 2.050303842
65 0.906307787 0.422618262 2.144506921
66 0.913545458 0.406736643 2.246036774
67 0.920504853 0.390731128 2.355852366
68 0.927183855 0.374606593 2.475086853
69 0.933580426 0.35836795 2.605089065
70 0.939692621 0.342020143 2.747477419
71 0.945518576 0.325568154 2.904210878
72 0.951056516 0.309016994 3.077683537
73 0.956304756 0.292371705 3.270852618
74 0.961261696 0.275637356 3.487414444
75 0.965925826 0.258819045 3.732050808
76 0.970295726 0.241921896 4.010780934
77 0.974370065 0.224951054 4.331475874
78 0.978147601 0.207911691 4.704630109
79 0.981627183 0.190808995 5.144554016
80 0.984807753 0.173648178 5.67128182
81 0.987688341 0.156434465 6.313751515
82 0.990268069 0.139173101 7.115369722
83 0.992546152 0.121869343 8.144346428
84 0.994521895 0.104528463 9.514364454
85 0.996194698 0.087155743 11.4300523
86 0.99756405 0.069756474 14.30066626
87 0.998629535 0.052335956 19.08113669
88 0.999390827 0.034899497 28.63625328
89 0.999847695 0.017452406 57.28996163
90 1 0 ?
91 0.999847695 -0.017452406 -57.28996163
92 0.999390827 -0.034899497 -28.63625328
93 0.998629535 -0.052335956 -19.08113669
94 0.99756405 -0.069756474 -14.30066626
95 0.996194698 -0.087155743 -11.4300523
96 0.994521895 -0.104528463 -9.514364454
97 0.992546152 -0.121869343 -8.144346428
98 0.990268069 -0.139173101 -7.115369722
99 0.987688341 -0.156434465 -6.313751515
100 0.984807753 -0.173648178 -5.67128182
101 0.981627183 -0.190808995 -5.144554016
102 0.978147601 -0.207911691 -4.704630109
103 0.974370065 -0.224951054 -4.331475874
104 0.970295726 -0.241921896 -4.010780934
105 0.965925826 -0.258819045 -3.732050808
106 0.961261696 -0.275637356 -3.487414444
107 0.956304756 -0.292371705 -3.270852618
108 0.951056516 -0.309016994 -3.077683537
109 0.945518576 -0.325568154 -2.904210878
110 0.939692621 -0.342020143 -2.747477419
111 0.933580426 -0.35836795 -2.605089065
112 0.927183855 -0.374606593 -2.475086853
113 0.920504853 -0.390731128 -2.355852366
114 0.913545458 -0.406736643 -2.246036774
115 0.906307787 -0.422618262 -2.144506921
116 0.898794046 -0.438371147 -2.050303842
117 0.891006524 -0.4539905 -1.962610506
118 0.882947593 -0.469471563 -1.880726465
119 0.874619707 -0.48480962 -1.804047755
120 0.866025404 -0.5 -1.732050808
121 0.857167301 -0.515038075 -1.664279482
122 0.848048096 -0.529919264 -1.600334529
123 0.838670568 -0.544639035 -1.539864964
124 0.829037573 -0.559192903 -1.482560969
125 0.819152044 -0.573576436 -1.428148007
126 0.809016994 -0.587785252 -1.37638192
127 0.79863551 -0.601815023 -1.327044822
128 0.788010754 -0.615661475 -1.279941632
129 0.777145961 -0.629320391 -1.234897157
130 0.766044443 -0.64278761 -1.191753593
131 0.75470958 -0.656059029 -1.150368407
132 0.743144825 -0.669130606 -1.110612515
133 0.731353702 -0.68199836 -1.07236871
134 0.7193398 -0.69465837 -1.035530314
135 0.707106781 -0.707106781 -1
136 0.69465837 -0.7193398 -0.965688775
137 0.68199836 -0.731353702 -0.932515086
138 0.669130606 -0.743144825 -0.900404044
139 0.656059029 -0.75470958 -0.869286738
140 0.64278761 -0.766044443 -0.839099631
141 0.629320391 -0.777145961 -0.809784033
142 0.615661475 -0.788010754 -0.781285627
143 0.601815023 -0.79863551 -0.75355405
144 0.587785252 -0.809016994 -0.726542528
145 0.573576436 -0.819152044 -0.700207538
146 0.559192903 -0.829037573 -0.674508517
147 0.544639035 -0.838670568 -0.649407593
148 0.529919264 -0.848048096 -0.624869352
149 0.515038075 -0.857167301 -0.600860619
150 0.5 -0.866025404 -0.577350269
151 0.48480962 -0.874619707 -0.554309051
152 0.469471563 -0.882947593 -0.531709432
153 0.4539905 -0.891006524 -0.509525449
154 0.438371147 -0.898794046 -0.487732589
155 0.422618262 -0.906307787 -0.466307658
156 0.406736643 -0.913545458 -0.445228685
157 0.390731128 -0.920504853 -0.424474816
158 0.374606593 -0.927183855 -0.404026226
159 0.35836795 -0.933580426 -0.383864035
160 0.342020143 -0.939692621 -0.363970234
161 0.325568154 -0.945518576 -0.344327613
162 0.309016994 -0.951056516 -0.324919696
163 0.292371705 -0.956304756 -0.305730681
164 0.275637356 -0.961261696 -0.286745386
165 0.258819045 -0.965925826 -0.267949192
166 0.241921896 -0.970295726 -0.249328003
167 0.224951054 -0.974370065 -0.230868191
168 0.207911691 -0.978147601 -0.212556562
169 0.190808995 -0.981627183 -0.194380309
170 0.173648178 -0.984807753 -0.176326981
171 0.156434465 -0.987688341 -0.15838444
172 0.139173101 -0.990268069 -0.140540835
173 0.121869343 -0.992546152 -0.122784561
174 0.104528463 -0.994521895 -0.105104235
175 0.087155743 -0.996194698 -0.087488664
176 0.069756474 -0.99756405 -0.069926812
177 0.052335956 -0.998629535 -0.052407779
178 0.034899497 -0.999390827 -0.034920769
179 0.017452406 -0.999847695 -0.017455065
180 0 -1 0