Calculus 2 : Polar Form

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #15 : 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 #71 : 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 #71 : Polar

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find x and y. You are given x and a function y, so plug in x into y.

After you have x and y, use the trig function .

Solution:

Example Question #73 : Polar Form

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find x and y. You are given x and a function y, so plug in x into y.

After you have x and y, use the trig function .

Solution:

 

Example Question #74 : Polar Form

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find x and y. You are given x and a function y, so plug in x into y.

After you have x and y, use the trig function .

Solution:

Example Question #75 : Polar Form

Given  calculate  in polar form if 

Possible Answers:

Correct answer:

Explanation:

You need to calculate . Before you do so, first find x and y. You are given x and a function y, so plug in x into y.

After you have x and y, use the trig function .

Solution:

Example Question #76 : Polar Form

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 #77 : Polar Form

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 #78 : Polar Form

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 #79 : Polar Form

Convert the following cartesian coordinates into polar form:

Possible Answers:

s

Correct answer:

s

Explanation:

Cartesian coordinates have  and , represented as . Polar coordinates have 

 is the hypotenuse, and  is the angle.

Solution:

 

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