Trigonometric Equations and Identities

[alliesmith]

Hello, I was wondering if anyone could give some advice on how I could find the solution to this question. (Pre-Calc 12)

For what values of x is the expression defined?

I have tried the following steps but I am unsure how to continue from here on or if I am going in the completely wrong direction.




Thank you very much

 

[Deleted member 4993]

Hello, I was wondering if anyone could give some advice on how I could find the solution to this question. (Pre-Calc 12)

For what values of x is the expression View attachment 23966 defined?

I have tried the following steps but I am unsure how to continue from here on or if I am going in the completely wrong direction.
View attachment 23968

View attachment 23967

Thank you very much

When would that expression be NOT defined?

1. When the denominator becomes zero
   
   
2. When the numerator is not defined

 

[Steven G]

A fraction is undefined when the numerator is undefined, when the denominator is undefined and/or when the denominator is 0. Its your turn now.

 

[Steven G]

When would that expression be NOT defined?

1. When the denominator becomes zero
   
   
2. When the numerator is not defined

Oops I did not read your entire post. I did add something extra.

 

[Dr.Peterson]

Hello, I was wondering if anyone could give some advice on how I could find the solution to this question. (Pre-Calc 12)

For what values of x is the expression View attachment 23966 defined?

I have tried the following steps but I am unsure how to continue from here on or if I am going in the completely wrong direction.
View attachment 23968

View attachment 23967

You aren't told to simplify the expression, only to find its domain. It's worth knowing that simplifying sometimes changes the domain, so you should in fact not simplify at all here!