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# Vector components

With the sine and cosine “standard” invented, we can now more easily say that a jumbo jet requiring $F=10\,000\,\mathrm N$ of force at a certain angle $\theta$, requires 10 000 times more – meaning $F$ times more – than the “standard” in all directions:

• It requires 10 000 times more force horizontally, in other words $F$ times the “standard’s” horizontal value of $\cos(\theta)$. So, this gives us the horizontal value: $\cos(\theta)F$.
• And also 10 000 times more vertically: $\sin(\theta)F$.

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