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

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Question 451699: I would appreciate some help with these two questions:
Solve each question for 0 ≦ Ꮎ < 2p
1.
2.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
I would appreciate some help with these two questions:
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
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