Hi guys I'm stuck in Problem Set 4, Part B, Problem 2:
Consider a triangle inscribed in the unit circle in the plane, with one vertex at (1, 0) and
the two other vertices given by polar angles θ1 and θ2, in that order counterclockwise.
a) Express the area A of the triangle in terms of θ1 and θ2. What is the set of possible
values for θ1 and θ2?

Next is to find the maximum area. Need your help thanks!

Question

Hi guys I'm stuck in Problem Set 4, Part B, Problem 2:
Consider a triangle inscribed in the  unit circle in the plane, with  one vertex at (1, 0)  and 
the  two  other  vertices  given  by  polar  angles  θ1 and  θ2,  in  that  order  counterclockwise.
a)  Express  the  area  A  of  the  triangle  in  terms  of  θ1 and  θ2.  What  is  the  set  of  possible 
values  for  θ1 and  θ2? 

Next is to find the maximum area. Need your help thanks!

anonymous · Answer

I would start with figuring out the possible values for 	heta1 and 	heta2: 
What's the biggest possible value before it loops around? Is there such a thing?

anonymous · Answer

Here it is. Problem 2 http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/assignments/ps4.pdf I shifted to 18.02SC because there are no solutions here in 18.02 Fall 2007. :(

anonymous · Answer

Ah, so it's just the first part in a multi-part problem. Hmm. 
Let's assume that theta1 and theta2 are separate (see drawing), rather than theta2 "containing" (and thus necessarily being larger than) theta1.|dw:1350514074023:dw|