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Title: A Table You Should Remember (Sine and Cosine)
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YouTube-Title: A Table You Should Remember (Sine and Cosine)
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Bright video: https://youtu.be/qI8_U8hHnoo
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Dark video: https://youtu.be/vLp52NlC7Zo
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Ad-free video: Watch Vimeo video
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Print-PDF: Download printable PDF version
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: table01_sub_eng.srt
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Timestamps (n/a)
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Subtitle in English
1 00:00:00,300 –> 00:00:01,920 Hello and welcome.
2 00:00:02,120 –> 00:00:05,639 This is a quick video about a table you really should remember.
3 00:00:06,257 –> 00:00:17,282 In the first row I give you an angle and we start with 0°, go to 30°, then to 45°, 60° and 90°.
4 00:00:17,482 –> 00:00:28,617 Of course we can also do this in radians. So we have 0, pi/6, pi/4, pi/3 and pi/2.
5 00:00:29,171 –> 00:00:33,869 Now, let’s take the function sine and calculate the values of these angles.
6 00:00:34,069 –> 00:00:40,146 The sin(0) is 0, but let’s write it as 1/2 times sqrt(0).
7 00:00:40,346 –> 00:00:44,510 The next value then reads 1/2 times the root of 1
8 00:00:44,710 –> 00:00:48,645 and then we can continue to 1/2 * sqrt(2),
9 00:00:49,343 –> 00:00:53,976 1/2 * sqrt(3) and 1/2 * sqrt(4).
10 00:00:54,176 –> 00:00:59,892 Of course we could simplify these values here and obviously in calculations we should really do this,
11 00:01:00,092 –> 00:01:03,749 but here it’s much easier to remember the table in this way.
12 00:01:03,949 –> 00:01:08,971 Now then the next nice thing is, it works for the cosine as well. Just the other way around.
13 00:01:09,114 –> 00:01:15,790 We have 1/2sqrt(4) for 0 and for pi/6 we have 1/2sqrt(3),
14 00:01:15,990 –> 00:01:19,705 then 1/2*sqrt(2). The same as for the sine
15 00:01:19,905 –> 00:01:27,161 and 1/2sqrt(1) for 60° and 1/2sqrt(0) for 90°
16 00:01:27,361 –> 00:01:32,102 and there we have it. This is the table you should remember and never forget.
17 00:01:32,302 –> 00:01:39,265 Essentially you just have to remember these 5 angles here, because then you can fill out this whole table in your mind.
18 00:01:39,465 –> 00:01:43,314 I hope this helps and see you next time. Bye!
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Quiz Content (n/a)
