Did you know SD-WANs can improve network connectivity? Check out this webinar to learn how an SD-WAN simplified, one-click tool can help you migrate and manage data in the cloud.

Become a Premium Member and unlock a new, free course in leading technologies each month.

Solved

Posted on 2014-11-19

f ( theta ) = 2 sec ( theta ) + tan ( theta )

0 <= theta < 2 pi

f ' ( theta ) = sec ( theta ) * [ 2 tan ( theta ) + sec ( theta ) ]

set derivative to 0 to find critical numbers.

sec ( theta ) * [ 2 tan ( theta ) + sec ( theta ) ] = 0

The only way I know how to do this problem is to plug different angle values for theta. The values that

satisfy the equation are critical numbers.

Is there a better way to do this problem ? Is there a method or procedure ?

This problem is from Advanced Placement High School Calculus class.

0 <= theta < 2 pi

f ' ( theta ) = sec ( theta ) * [ 2 tan ( theta ) + sec ( theta ) ]

set derivative to 0 to find critical numbers.

sec ( theta ) * [ 2 tan ( theta ) + sec ( theta ) ] = 0

The only way I know how to do this problem is to plug different angle values for theta. The values that

satisfy the equation are critical numbers.

Is there a better way to do this problem ? Is there a method or procedure ?

This problem is from Advanced Placement High School Calculus class.

Add your voice to the tech community where 5M+ people just like you are talking about what matters.

- Help others & share knowledge
- Earn cash & points
- Learn & ask questions

2 Comments

which means 2 sin ( theta ) + 1 = 0

If you want to solve it numerically rather than analytically, and you plug different angle values for theta such that

2 sin ( theta1 ) + 1 > 0 and 2 sin ( theta2 ) + 1 < 0 then you know that 2 sin ( theta ) + 1 = 0 for some theta between theta1 and theta2, and you can binary search to narrow it down

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

This is a research brief on the potential colonization of humans on Mars.

Earn Certification

HTML5 Specialist - Certification

Free withPremium

Course of the Month6 days, 7 hours left to enroll

Earn Certification

Lean Six Sigma Yellow Belt

$99.00$89.10

Join the community of 500,000 technology professionals and ask your questions.