2 years ago

Paul's family is driving home from a trip. They plan to drive part of the distance each day for 3 days. Which choices show the

Mathematics

2 answers:

Vaselesa [24]2 years ago

4 0

Answer:

1) is correct. not second

Step-by-step explanation:

sasho [114]2 years ago

4 0

First one is correct

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How did he get this 1/2i ? I dont remember studying this definition in calc 1 neither calc 2!

Hitman42 [59]

The $i$ in the denominator is missing in the second expression. It should be

$\sin at=\dfrac{e^{iat}-e^{-iat}}{2i}$

This follows from

$e^{iat}=\cos at+i\sin at$
$e^{-iat}=\cos at-i\sin at$
$\implies e^{iat}-e^{-iat}=2i\sin at$
$\implies \sin at=\dfrac{e^{iat}-e^{-iat}}{2i}$