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Marina86 [1]
3 years ago
5

What is the rectangular form of the polar equation?

Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

tanθ = \frac{y}{x}

Given : Polar equation as 'θ' = -\frac{5\pi }{6}

Therefore, \text{tan}(-\frac{5\pi }{6} ) = \frac{y}{x}

-\text{tan}(\frac{5\pi }{6} ) = \frac{y}{x}   [Since tan(-θ) = -tanθ]

\text{tan}(\pi -\frac{5\pi }{6} ) = \frac{y}{x} [Since -tanθ = tan(π - θ)]

\text{tan}\frac{\pi }{6} = \frac{y}{x}

\frac{y}{x}=\frac{\sqrt{3}}{3}

y = \frac{\sqrt{3} }{3}x

Therefore, y = \frac{\sqrt{3} }{3}x will be the rectangular form of the polar equation.

Option (1) will be the correct option.

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