Question

Please help with trig problem!

Answer 1

By applying the relationships between rectangular and polar systems of coordinates we determine that (x, y) = (-3, 0) is equivalent to (r, θ) = (3, π).

How to convert rectangular coordinates into polar form

Rectangular coordinates represent a point in terms of orthogonal distances ("horizontal" and "vertical"), whereas the polar coordinates are represented by a distance with respect to origin (r) and a standard angle (θ). There is the following relationship between rectangular and polar systems of coordinates:

(x, y) = r · (cos θ, sin θ)     (1)

Where $r = \sqrt{x^{2}+ y^{2}}$ and $\theta = \tan^{-1} \left(\frac{y}{x} \right)$.

If we know that (x, y) = (-3, 0), then the polar form of the coordinates are:

$r = 3$, $\theta = \pi$

By applying the relationships between rectangular and polar systems of coordinates we determine that (x, y) = (-3, 0) is equivalent to (r, θ) = (3, π).

To learn more on coordinate systems: brainly.com/question/11657509

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