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2 years ago

Write the trig form of the complex number 18i

Mathematics

1 answer:

ehidna [41]2 years ago

5 0

The trigonometric form of the complex number given in the task content is; 18(isin(π/2)).

<h3>What is the trigonometric form of the complex number?</h3>

If follows from the task content that the complex number whose trigonometric representation is to be determined is; 18i.

Hence, It follows that the trigonometric form is;

= 18(cos(π/2) + isin(π/2)). where; cos(π/2) = 0.

Hence, we have;

= 18(isin(π/2)).

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Answer:

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

Step-by-step explanation:

First, we can create a matrix to scale this rectangle by putting all the x coordinates in the top row and all the y coordinates in the bottom row and multiply it by 4.

Our initial matrix to multiply:

$4\left[\begin{array}{cccc}-1&1&1&-1\\-2&-2&-1&-1\end{array}\right]$

Moved to the origin:

$4\left[\begin{array}{cccc}-1&1&1&-1\\-0.5&-0.5&0.5&0.5\end{array}\right]$

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$\left[\begin{array}{cccc}-4&4&4&-4\\-2&-2&2&2\end{array}\right]$

This gives us the points of

Q' = (-4, -2)

R' = (4, -2)

S' = (4, 2)

T' = (-4, 2)

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