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irga5000 [103]
3 years ago
13

Need help with a math question

Mathematics
1 answer:
Lilit [14]3 years ago
6 0

Answer:

d =\sqrt{(b-0)^2 +(c-a)^2}

Step-by-step explanation:

We know that the distance between two points is calculated using the following formula

d =\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}

In this case we look for the RS distance

Then

The starting point is: (0, a)

The final point is (b, c)

So

x_2 = b\\x_1 = 0\\y_2 = c\\y_1=a

The distance is:

d =\sqrt{(b-0)^2 +(c-a)^2}

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\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}

d)  converts (-1, √3) to polar coordinates  ( r , θ)

r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2

\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}

= \frac{2\pi}{\sqrt{3} }

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