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garri49 [273]
3 years ago
11

Transform the Cartesian (rectangular) equation to a polar equation: x = -9. The selected answer is incorrect.

Mathematics
1 answer:
nika2105 [10]3 years ago
6 0

Answer:

Solution : Option C

Step-by-step explanation:

We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations (  x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.

Given : x = - 9,

( Substitute r cos(θ) for x )

r cos(θ) = - 9,

r = - 9 / cos(θ)

( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )

r = - 9 sec(θ)

Therefore the third option is the correct solution.

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