SOLUTION: I would appreciate some help with these two questions: Solve each question for 0 &#8806; &#5054; < 2<font face = "symbol">p</font> 1. {{{2cos^2(theta)-1=0}}} 2. {{{sqrt(2)si

Solve each question for 0 ≦ Ꮎ < 2p

1. 





Use the principle of square roots:









Since the cosine can be positive or negative,
The solutions are all the angles in all four 
quadrants with a 45² or  reference 
angle.

They are:

, , ,    

2. 

Factor out GCF 



Use the zero-factor property.  Setting the first
factor = 0,



This has solutions , 

Setting the other factor = 0,











Since the sine is negative, the solutions are the 
angles in the third and fourth quadrants with a 
45² or  reference angle.

They are  and   

So the solutions are: 

, , , and 

Edwin