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About Scotto
Expertise
Any kind of mathematics (calculus, analysis, game theory, linear approximation, finite differences, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics (mass, momentum, falling bodies), Chemistry (charge, reactions, symbols, molecules), and Biology.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.

Publications
Maybe not a publication, but I have respond to well oveer 3000 questions on the PC. That's around 2,000 in basic math and 1,000 in advanced math.

Education/Credentials
I aquired well over 40 hours of upper division courses. This was well over the number that were required. I graduated with honors in both my BS and MS degree from Oregon State University. I was allowed to jump into a few junior level courses my sophomore year.

Awards and Honors
I have been nominated as the expert of the month several times. All of my scores right now are at least a 9.8 average (out of 10).

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My past clients have been students at OSU, students at the college in South Seattle, referals from a company, friends and aquantenances, people from my church, and people like you.

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > radian interval notation

Calculus - radian interval notation


Expert: Scotto - 6/24/2008

Question
f(x)= 1/sqrt(1+sin x)
Tell where f is continuous.  Give your answer in interval notation.

I know it is continuous unless sqrt(1+sin x)/=0 (not equal to zero) or sin x=-1.  My problem lies in how to put it in interval notation.  I have (-infinity,-pi/2)and((3pi/2),+infinity).  How do I show that they recur every 2pi afterwards?

Answer
I'd not try to write it with parenthesis.

I'd put all 'The function f is continuous at all real numbers except for where x=2nπ + 3π/2 for all integers n.'

By the way, π is really pi.  Does it show up like that?

I think that about sums it up.


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