HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 354
To aid in this, we will change to the small, font, c earing the screen first.
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vi. Clear the current contents of the screen using SHIFT ALPHA CLEAR. Then perform the same definition assignment for Y1(t) as the imaginary part of M. ALPHA M MATH ENTER ENTER Note: As before, the button jumps to the first function with that letter (L), in this case IM. ENTER SHIFT = ALPHA Y 1 ( ALPHA SHIFT T SHIFT SHIFT ENTER vii. In order to show that the function is symmetrical about the x axis we need to show that (X1(-t),Y1(-t)) is equivalent algebraically to (X1(t), -Y1(t)). Purely for convenience we will display X1(t)=X1(-t) and evaluate each side. The = is not used to solve anything but just to display both at once for comparison so that it can be seen whether or not they are equal as required. To aid in this, we will change to the small font, clearing the screen first. SHIFT ALPHA CLEAR ALPHA X 1 ( SHIFT ALPHA T SHIFT = ALPHA X 1 ( SHIFT ALPHA T (-) SHIFT ENTER As can be seen, the two are algebraically equivalent. We now check the same equality for Y1, again clearing the screen first. SHIFT ALPHA CLEAR ALPHA Y 1 ( SHIFT ALPHA T SHIFT = ALPHA Y 1 ( SHIFT ALPHA T (-) SHIFT ENTER Again it is clear that the condition that Y1(t)= -Y1(-t) has been met. Therefore we can conclude that the graph is symmetrical about the x axis. 354
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