グローバルビジネスで役立つ数学(34)式の単純化(英語版)

Hi, there!

Have you ever heard the “KISS principle”? … Give me a break! What you’ve thought is wrong! It doesn’t mean the way that a man and woman indulge in affectionate familiarities, kiss, and hug each other.

This provocative word means, in fact, “Keep it short and simple” in business scenes. Indeed, business persons sometimes should elaborate on something to convince counterparts, not in a nutshell; however, what matters most in the corporate world is “to be brief but to the point.”

I often find wordy or verbose essays written by students in my EIKEN® Grade 1 class. Their reports are inclined to be prosaic and far-reaching from the bottom line. They usually become unclear or equivocal, and their thoughtfulness to any contentious issues proves their ruin.

Let’s speak and write plain English! You may be flabbergasted to see how I can simplify the following intricate formula.

\(tan(45° + \theta)tan(45° – \theta)tan30° (0° < \theta < 45°)\)

Here is my solution to the problem.

First of all, think of \((45° + \theta) + (45° – \theta)\), and remember \(tan(90° – \theta) = \frac{1}{tan\theta}\)

\(tan(45° + \theta)tan(45° – \theta)tan30° (0° < \theta < 45°)\)
\(= tan\displaystyle\left\{90° – (45° – \theta)\right\}tan(45° – \theta)tan30°\)
\(= \frac{1}{tan(45° – \theta)}・tan(45° – \theta)tan30°\)
\(= tan30°\)
\(= \frac{1}{\sqrt{3}}\)

Coco Chanel also says, “Simplicity is the keynote of all true elegance.”

Take to heart, “Write shabbily, and they remember the boredom;
write impeccably, and remember the writer.”

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

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【グローバルビジネスで役立つ数学】でもっと学習する b^^)
【参考図書】『もう一度高校数学』(著者:高橋一雄氏)株式会社日本実業出版社
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