Question

(-4, 150) find two pair of polar coordinates

Answer 1

The polar coordinates of (-4, 150°) will be  $\sqrt[2]{5629}$  and 5069.09939523°

What is the coordinate about?

The formula for this conversion will be:

r = $\sqrt{x^2 + y^2}$

θ = $tan ^-1 (\frac{y}{x} )$

$r = \sqrt{(4^2) + (150^0)^2} \\\\θ = tan ^-1 (\frac{y}{x} )\\\\\\r = \sqrt[2]{5629} \\\\ = tan ^-1 (\frac{150}{4} )$

= $\frac{75}{2}$

the inverse of:  $\frac{75}{2}$ is   θ = 5069.09939523°

Therefore:

$r = \sqrt[2]{5629}$

θ = 5069.09939523°

So the polar coordinates of (-4, 150°) will be $\sqrt[2]{5629}$  and 5069.09939523°

Learn more about polar coordinates from

brainly.com/question/14965899

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