Casio FX-114 Polar Conversions and Usage
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Example 1: Convert the complex number (z = -4+3i) into polar form. 1. In the COMPLEX Mode, set the angle unit to Degree (Deg). [MODE] [2](COMPLEX) [MODE]...[1](Deg) 2. Input the complex numbers z=-4+3i. [(-)][4][+][3][ENG](i)[=] 3. The result in rectangular form. The value of real part: -4 The value of imaginary part after pressing [SHIFT][=] (Re<->Im): 3 (i) 4. The display change of the value of rectangular form is carried out at polar form. The absolute value of the number in polar form after pressing [SHFT][+](>r<θ)[=]: 5 The angle value after pressing [SHFT][=] (Re<->Im): 143.1301024 The result in polar form :5<143.1301024 (Angle unit:Deg) Example2: Convert the complex number (2<60º) into rectangular form. 1. In the COMPLEX Mode, set the angle unit to Degree (Deg). [MODE] [2](COMPLEX) [MODE]...[1](Deg) 2. Input the complex numbers 2<60. [2][SHIFT][(-)](<)[6][0][=] 3. The result in rectangular form. The value of real part: 1 The value of imaginary part after pressing [SHIFT][=] (Re<->Im): 1.732050808 (i) The result in rectangular form: 1+1.732050808i It is possible to work with the angle unit Radian. When angle mode is set as Radian, the angle values can input as pi-Multipliers. (180º =π radian.) Above Example2 is calculated in Radian. 1. In the COMPLEX Mode, set the angle unit to Radian(Rad). [MODE][2](COMPLEX) [MODE]...[2](Rad) 2.Input the complex numbers 2<π/3. (60º=π/3 radian.) [2][SHIFT][(-)](<)[SHIFT] [EXP](π)[ab/c] [3][=] 3. The result in rectangular form. The value of real part: 1 The value of imaginary part after pressing [SHIFT][=] (Re<->Im): 1.732050808 (i) Complex Numbers – Calculation (Addition / Subtraction) The two rectangular form complex numbers z1 and z2 are given. : z1 = 4+2i, z2 = -1+5i Example 3: Addition z1+z2=3+7i 1. In the COMPLEX Mode, set the angle unit to Degree (Deg). [MODE] [2](COMPLEX) [MODE]...[1](Deg) 2. Input the value. z1+z2. |
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Result: The value of real part: 3 The value of imaginary part after pressing [SHIFT] [=](Re<->Im): 7 (i) Example4: Subtraction z1-z2=5-3i 1. In the COMPLEX Mode, set the angle unit to Degree (Deg). [MODE] [2](COMPLEX) [MODE]...[1](Deg) 2. Input the value. z1-z2. |
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Result: The value of real part: 5 The value of imaginary part after pressing [SHIFT] [=](Re<->Im): -3 (i) Complex Number – Calculation (Multiplication / Division) The two polar form complex numbers z1 and z2 are given.(Angle unit:Degree): z1 =5<70, z2 = 3<45 Example 5: Multiplication z1*z2=15<115 1. Set the complex mode, the polar form for display of complex number calculation results and the angle unit Degree in setting. [MODE][2](COMPLEX) [MODE]...[1](Disp)[right cursor key][2](r<θ) [MODE]...[1](Deg) 2.Input the value. z1*z2 |
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Result: The absolute value of the number in polar form : 15 The angle value after pressing [SHFT][=] (Re<->Im): 115 Example6: Division z1/z2= 1.666666667< 25 1. Set the complex mode, the polar form for display of complex number calculation results and the angle unit Degree in setting. [MODE][2](COMPLEX) [MODE]...[1](Disp)[right cursor key][2](r<θ) [MODE]...[1](Deg) 2.Input the value. z1/z2 |
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Result: The absolute value of the number in polar form : 1.666666667 The angle value after pressing [SHFT][=] (Re<->Im): 25 3.The display change of the value of polar form is carried out at rectangular form. The value of real part after pressing [SHIFT][-](>a+bi)[=]: 1.510512978 The value of imaginary part after pressing [SHIFT][=](Re<->Im): 0.704363769 (i) |