Sin A Cos B - Cos A Sun B =

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

$\large{\boxed{\sin\alpha\cos\beta-\cos\alpha\sin\beta=\sin(\alpha-\beta)}}$

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The distance between city A and B is 600 km. The first train left A and headed towards B at the speed of 60 km/hour. The secon

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$\bf \begin{array}{ccccllll}
&distance&rate(km/hr)&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
A&d&60&t\\
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\end{array}$

$\bf \textit{meaning}\implies 
\begin{cases}
d=(60)(t)
\\ \quad \\
600-d=(v)(t+3)\\
------------\\
d=\boxed{60t}\qquad thus
\\ \quad \\
600-\boxed{60t}=v(t+3)\leftarrow \textit{solve for "t"}
\end{cases}$

keep in mind, that "t" is the time when the train at A station, left towards B station

they met, at some time "t", and by the time that happened, train from A
which started 3 hours earlier, had already covered "d" distance,
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|−∣=7
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∣−∣
= |(-2-5)|
= |-2-5|
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cause its is across

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