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## HOMEWORK SOLVED

Page 2 Question 6 6. Which of the following is important to remember? Write out each step. Set denominator equal to 0. What is the geometric interpretation of the difference quotient? What are the vertical asymptotes of this rational function?

What are the vertical asymptotes in this rational function? Page 3 Question 11 Write a rational function with a vertical asymptote of 4 and a horizontal asymptote of 3. How many vertical asymptotes are there? Which interval s offers a solution? What are the two points used in the difference quotient? What are the intervals of this inequality?

Page 4 Question 16 A rational function is what? Previous Page Next Page. Rational Functions in Trigonometry: Create an account today. Browse Browse by subject. Email us if you want to cancel for any reason. Start your FREE trial. What best describes you? Choose one Student Teacher Parent Tutor. Your goal is required.

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Again, we need to do a little work to get this equation into a form we can handle. The easiest way to do this one is to recall one of the trig formulas from the Trig Formulas section in particular Problem 3. If you divide both sides by a cosine you WILL lose solutions! Note that in this case we got a repeat answer. So, all together we get the following solutions,. This problem appears very difficult at first glance, but only the first step is different for the previous problems. So, why cover this?

Well, if you think about it there is very little difference between this and the problem you are asked to do. First, we factor the equation. Often both will yield solutions! This problem, in some ways, is VERY different from the previous problems and yet will work in essentially the same manner.

First, get the sine on one side by itself. Also, make sure that your calculator is set to do radians and not degrees for this problem. It is also very important to understand the answer that your calculator will give. First, note that I said answer i. Now, we know from our work above that if there is a solution in the first quadrant to this equation then there will also be a solution in the second quadrant and that it will be at an angle of 0.

I did however note that they will be the same value, except for the negative sign. The angle in the second quadrant will then be,. The final step is to then divide both sides by the 2 in order to get all possible solutions. This problem is again very similar to previous problems and yet has some differences. First get the cosine on one side by itself.

Note however, that they will be the same except have opposite signs. Now, we need to get the second angle that lies in the third quadrant.

Our calculator will give us the angle that is in the fourth quadrant and this angle is,. If we wanted the positive angle we could always get it as,. The angle in the third quadrant will be 0.

To get the final solution all we need to do is add 2 to both sides. All possible solutions are then,. In fact, in some ways there are a little easier to do since our calculator will always give us one for free and all we need to do is find the second. The main idea here is to always remember that we need to be careful with our calculator and understand the results that it gives us.

The only difference would have been that our answers would have been decimals instead of the exact answers we got. View Quick Nav Download. You appear to be on a device with a "narrow" screen width i. Due to the nature of the mathematics on this site it is best views in landscape mode.

## Main Topics

4. Identify: § · A Fourier need help with writing series is an expansion of a periodic function f(x) in terms of an infinite sum of sines and cosines. Trigonometry homework help for interval.

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Mar 23,  · Physics Forums | Science Articles, Homework Help, Discussion. Forums > Homework Help > Precalculus Mathematics Homework > Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors. Homework Help: Finding intervals of trig functions Mar 21, #1. steve snash. 1. The problem statement, all variables and given/known.