Convert the cartesian equation to a polar equation that expresses r in terms of ? . ( x + 9...
Question:
Convert the cartesian equation to a polar equation that expresses r in terms of {eq}\theta. {/eq} {eq}(x+9)^{2}+y^{2}=81 {/eq}
Eqaution in Polar Form:
To get the equation in polar form from the cartesian form, always use the general relation between the cartesian coordinates and polar coordinates such as:
- {eq}x=r\cos \theta\\ y=r\sin\theta {/eq}
Simplify the obtained equation using the basic trigonometric property of sine and cosine function.
- {eq}\sin^{2} \theta+\cos^{2}\theta=1 {/eq}
Answer and Explanation: 1
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View this answerGiven data:
{eq}\displaystyle (x+9)^{2}+y^{2}=81 {/eq}
Plug {eq}x=r\cos\theta {/eq} and {eq}y=r\sin\theta {/eq} in the above equation.
{eq}\begi...
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Chapter 24 / Lesson 2The polar form of a complex number is an alternative way to write a complex number. The polar form is easy to compute. Examples are provided.