High School
SAT
ACT
University
MCAT
LSAT
DAT
Wize High School Grade 12 Calculus Textbook > Derivative of Trigonometric Functions

Optimization Problems w/ Trig Functions

Derivative of Trig FunctionsPrevious Section
Introduction to VectorsNext Section
Popular Courses
Find My Course

Practice: Maximize Cross-Sectional Area

A tent is constructed using two 2 metre poles as shown in the diagram below. What is the angle θ\theta that will maximize the cross-sectional area in order to maximize the draft that goes through the tent?

checklist
Mark Yourself Question
  1. Grab a piece of paper and try this problem yourself.
  2. When you're done, check the "I have answered this question" box below.
  3. View the solution and report whether you got it right or wrong.

Practice: Maximize Area

An isosceles triangle is inscribed in a circle of radius R as shown in the diagram below. Show that the angle that maximizes the area of the triangle is θ=π3\theta=\frac{\pi}{3}.