Calculus 2 : Polar Form

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #66 : Polar

What is the polar form of ?

Possible Answers:

Correct answer:

Explanation:

We can convert from rectangular to polar form by using the following trigonometric identities: and . Given , then:

 

Example Question #67 : Polar

What is the polar form of ?

Possible Answers:

Correct answer:

Explanation:

We can convert from rectangular to polar form by using the following trigonometric identities: and . Given , then:

Dividing both sides by , we get:

Example Question #68 : Polar

What is the polar form of ?

Possible Answers:

Correct answer:

Explanation:

We can convert from rectangular to polar form by using the following trigonometric identities: and . Given , then:

Dividing both sides by , we get:

Example Question #69 : Polar

What is the polar form of 

Possible Answers:

Correct answer:

Explanation:

We can convert from rectangular to polar form by using the following trigonometric identities: and . Given , then:

 

Example Question #70 : Polar

Calculate the polar form hypotenuse of the following cartesian equation: 

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are x and y. In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

Example Question #61 : Polar Form

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are x and y. In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

Example Question #62 : Polar Form

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are x and y. In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

Example Question #14 : Polar Form

Convert the following cartesian coordinates into polar form: 

Possible Answers:

Correct answer:

Explanation:

Cartesian coordinates have x and y, represented as (x,y). Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

Example Question #63 : Polar Form

Convert the following cartesian coordinates into polar form:

Possible Answers:

Correct answer:

Explanation:

Cartesian coordinates have x and y, represented as (x,y). Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

Example Question #64 : Polar Form

Calculate the polar form hypotenuse of the following cartesian equation:

Possible Answers:

Correct answer:

Explanation:

In a cartesian form, the primary parameters are x and y. In polar form, they are  and 

 is the hypotenuse, and  is the angle created by .

2 things to know when converting from Cartesian to polar.

You want to calculate the hypotenuse, 

Solution:

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