Bemidji Mayor Rita Albright has turned back a challenge from former Mayor Richard Lehman, Albright winning that election last night. Mayor Albright will serve her third term and says she's honored that the people of Bemidji elected her and she's ready to work for them again. As far as running against a former mayor, Albright says she wants to look forward in not what was done in the past. Albright's ready to build on the successes in the community but knows there's a lot of work to be done still and she's excited to get going. I think we need to build on some of the success that we've had. We've had a lot of construction and development around the community and that's positive. We've made some strides with race relations and I think there's still some more work to do there and I'm looking forward to working on that. Disappointed in the results obviously but uh you know the voters spoke that's what they chose and and uh you know it's it's over. The ninth is here, sun still rose today so it's not like it's the end of the world. Former Mayor Lehman says he's also looking forward to being a private citizen as of now has no plans to run for political office. If you've enjoyed this segment of Lakeland News, please consider making a tax-deductible contribution to Lakeland Public Television.


Let us write the complex number z equals negative one plus i in its trigonometric form. It's given in the Cartesian form of the complex number. So we can very quickly see that the real part of z is negative one and the imaginary part of z is positive one. So if we think about that for a moment, right, our x-coordinate is negative, which means we're gonna be over here somewhere, but our y-coordinate is positive. So if you have a negative positive, that puts our point in the second quadrant. That's an important thing to remember here. We compute the modulus, which is gonna be the square root of negative one squared plus one squared. That'll just simplify to be the square root of two. And in terms of the argument, we can make just sort of an arc tangent type argument. We have to do arc tangent of negative one. Now, if you consult your calculator, your calculator, if you take arc tangent of negative one, it wants to give you an angle over here. It's gonna give you negative pi force, but that's an angle in the fourth quadrant. We have to add 180 to it or add pi to it, whichever you're using, gradients or degrees. We have to add pi to that negative pi force. That gives us three pi force, which is an actual angle in the second quadrant. That's why it's important to pay attention to the quadrant. And therefore the trigonometric form of this complex number will be, it always has the form r times cosine theta plus i sine theta. So we plug in the modulus of the square root of two. We plug in the angle, which is three pi force. And we see that z equals the square root of two times cosine of three pi over four plus i sine three pi over four. And I want you to notice here that if we actually computed cosine of three pi force and sine of three pi force, you would end up with negative root two over two plus i times root two over two. If you distribute the square root of two, you're gonna end up with negative two over two plus i times two over two, which simplifies to be negative one plus i. So we can go back from the trigonometric form to the Cartesian form just by computing the trigonometric functions and simplifying it. But we see here how one can write a trigonometric, or how one can write a complex number in trigonometric form.


When you go to your center and you enter at the application center remember to work as a team together You will not have a grown-up way with you You can use any of the strategies that we've been talking about in unit four. Okay. All right Third one. Yeah, so math center Tatiana, why don't you get the math center basket math center? Why don't you tiptoe to the area? All right. Great job math center get right to work. They're gonna be using the game technology center The iPads are back there for you begin please. I'm wonderful application center and teacher center