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hi welcome to another video from equation common this video we are going to use a casio FX 991 es plus calculator to do the complex calculations so let's get started for the complex calculation we have to go to complex mode by pressing the smooth button and then selecting number 2 pressing number two to see MPL X which is complex so now on the screen you will see CMP and X which is complex so we know that this is in complex mode so for the complex we will have usually a value let's say 8 plus 5i so this is a real part and this is imaginary part and in some calculations in some books you might see as J but doesn't matter so I here is imaginary so if it's J just replace it by I in this calculator so let's enter this one in the calculator 8 plus 5 and then 4i we place with process in G button which has a label I here so that's how we enter it if I press enter you will see it here this button now has another job here when I press it it brings the real at the top and imaginary at the bottom in the next few steps you will see this feature is very useful and I will show you the other way so this is a so this is a polar form so now let's go so so this is the polar form but sometimes you were filled as a vector form of the magnitude and angle let's say you will have 4 and an angle 36 degrees so to enter a value in degree we must be in degree mode here so by pressing the shift mode and then plus number three which is degree now we are in degree we enter by pressing full and therefore the angle we press this minus sign inside the Prentice by pressing the shift so for angle thirty six equal sign so this is entered and you can add and do a little calculation but on the screen as you can see it has already been converted into the a polar form so this is the x value and then plus this is the imaginary value this is a real and imaginary this arrow shows that I can go to the right to see the I but here is the beauty of this button by pressing this button imagine the real value goes up and the imaginary comes here so we did two things immediately converted and also we were able to enter the value as well another element that you need in the calculation is the argument let's say you have an argument of eight plus five I so the argument of this one is actually the angle of the value so we have another menu here which is called complex menu this menu will be accessed by pressing the shift button shift and then two so you will see we have here another menu number one which is argument so argument of eight plus five and then I plus I automatically so close that so it will tell me that the argument of that one is thirty two point zero zero five don't forget this is in degree so if I shift and then for my make this in Radian now for it less equal sign you will see that this is 0.55 it Radian very important that we have to have the right setting for our calculations okay now the other way to convert from one form to the other form from the polar form and to the vector form so you enter the value eight plus five I then press then go to the complex menu I will mention a lot about this complex menu by pressing Shift + 2 and here it shows that you want in this format which we press number four a plus bi so the screen you see this value goes to this format plus press equal sign so eight plus five I shift we go to this complex menu I will refer to this a lot so remember the complex menu and we want it into the vector form with there are radius or magnitude and angle okay as you can see here it shows in the other form it shows 89 and then angle zero point five five eight this is in radians so the this pressing this button will help us to see it properly the magnitude and then this is angle if I switch it if I shift and go to mood and make a degree now you'll see that it's 32 okay so many times you need also to have the conjugate a value of a value let's say the same value let's get the conjugate of it the conjugate of this one is just change of sign but during the calculation you want to have this value and then the conjugate of it so we will have 8 plus 5 so sorry would live to get the conjugate of it let's go to the complex menu cons number two plus number two and then it to this plus 5i close it and that will give you the conjugate which is a chain the sign has changed now let's see you have five plus 6i and then you have three minus five point nine I and then you have six over four plus 2i minus five point one I so we can use the memory to make our life easy to do calculation some questions have multiple steps and for those calculation and electrical engineering and some other courses you will need to use the same value over and over again so the best way would be to enter all these value into the memory so let's call I'm gonna store this so we have this red color or the memory a b c d e f X Y and M these are all the available memories eight memories so you can store eight different complex values so I'm going to store this into a and this one into B and this one into C let's store them and then use them so five plus six I and then to access all these red I have to activate the store store is activated by Chef side the chef store now you see sto on the screen so this is now waiting to press out if I press any of those memory this value will go into that memory so impressing a now and you can see it shows this value is into a all clear AC let's go enter the other value which is three minus five point nine I and now this one into B shift stove D now this is stored into B and look it has changed it to fraction and then for the C this is also a good practice so plus six this line and then underneath four plus two I and the denominator for plus 2i with this I will go to the right - five point one minus five point one and then I so this one shift store C so just wanted to see now the value is here how can you recall it just for the spar CL which is recall a if I personally called a the values here they called B that's the value recall C that's the value it has already been done some calculation over at all if you see it one point two minus five point seven that's the sum of this value let's say you have an equation something like a plus Plus be conjugate multiplied by C so this calculator can be exact this way except for the conjugates so open plantus recall a plus now we have to go to the complex menu to bring the conjugate complex and then 2 which is conjugate and then put recall B so B is here close the conjugate and then close the main one x is recall C so a + conjugate of B times C equal this is a value if you don't like it a fraction plus this to convert it into seventy seven point four three - thirty-one point 32 31 point 32 I so this is how you do the complex calculation with this calculator I hope you've learned something from this tutorial if you liked it please thumb up and also if you have not subscribed to my channel please do so now thank you