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3 years ago

15 less than a number

Mathematics

2 answers:

sp2606 [1]3 years ago

8 0

Im not sure but i think it is 15 - x

Travka [436]3 years ago

7 0

15-17? Or, are you are asking something less than 15......14? If this helps, thank me. If this really helps, thank me and, crown me brainiest answer. Also, rate, and comment. This helps me to improve answering, and helps you to get a better answer.

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Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

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The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
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In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

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3 years ago

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Answer:

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