User manual HP 9G

[. . . ] hp 9g Graphing Calculator Contents Chapter 1 : General Operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Power Supply . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Turning on or off . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Battery replacement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] During a calculation involving fractions, a fraction is reduced to its lowest terms where possible. This occurs when you press [ + ], [ ­ ], ] ) or [ ]. Pressing [ 2nd ] [ A b/c d/e ] converts a [ × ], [ mixed number to an improper fraction and vice versa. To convert a decimal to a fraction or vice versa, press [ 2nd ] [F D ] and [ ]. Calculations containing both fractions and decimals are calculated in decimal format. See Example 24. · · · Converting Angular Units You can specify an angular unit of degrees (DEG), radians (RAD), or grads (GRAD). You can also convert a value expressed in one angular unit to its corresponding value in another angular unit. The relation between the anglular units is : 180° = radians = 200 grads E-15 To change the angular unit setting to another setting, press [ DRG ] repeatedly until the angular unit you want is indicated on the display. conversion procedure follows (also see Example 25): Change the angle units to the units you want to convert to. Press [ 2nd ] [ DMS ] to display the menu. The units you can select are °(degrees), ' (minutes), " (seconds), r (radians), g (gradians) or DMS (Degrees-Minutes-Seconds). Select the units you are converting from. To convert an angle to DMS notation, select DMS. An example of DMS notation is 1° 30' 0" (= 1 degrees, 30 minutes, 0 seconds). To convert from DMS notation to decimal notation, select °(degrees), '(minutes), "(seconds). See Example 27. Trigonometric and Inverse Trigonometric functions The calculator provides standard trigonometric functions and inverse trigonometric functions: sin, cos, tan, sin-1, cos-1 and tan-1. Note: Before undertaking a trigonometric or inverse trigonometric calculation, make sure that the appropriate angular unit is set. Hyperbolic and Inverse Hyperbolic functions The [ 2nd ] [ HYP ] keys are used to initiate hyperbolic and inverse hyperbolic calculations using sinh, cosh, tanh, sinh-1, cosh-1 and tanh-1. Note: Before undertaking a hyperbolic or inverse hyperbolic calculation, make sure that the appropriate angular unit is set. Coordinate Transformations Press [ 2nd ] [ R P ] to display a menu to convert rectangular coordinates to polar coordinates or vice versa. Note: Before undertaking a coordinate transformation, make sure that the appropriate angular unit is set. Mathematical Functions E-16 Press [ MATH ] repeatedly to is display a list of mathematical functions and their associated arguments. RAND RANDI RND MAX MIN SUM AVG Frac INT SGN Calculate the factorial of a specified positive integer n , where n69. Generate a random number between 0 and 1. Generate a random integer between two specified integers, A and B, where A random value B. [. . . ] To erase a single program, select ONE, the program area you want to erase, and then press [ ] E-30 3. 4. To erase all the programs, select ALL. A message appears asking you to confirm that you want to delete the program(s). ] to move the cursor to Y and then press [ Press [ ]. To exit DEL mode, select EXIT from the program menu. Program Examples See Examples 54 to 63. Example 1 Change 123 × 45 to 123 × 475 123 [ × ] 45 [ ] [ ][ ][ ] [ DEL ] [ 2nd ] [ ] [ ][ ]7[ ] Example 2 After executing 1 + 2, 3 + 4, 5 + 6, recall each expression 1[+]2[ ]3[+]4 [ ]5[+]6[ ] E-31 [ ] [ ] [ ] Example 3 Enter 14 14 [ 0 × 2. 3 and then correct it to 14 ] 10 × 2. 3 ] 0 [ × ] 2. 3 [ (after 5 Seconds ) [ ]1[ ] Example 4 [ ( 3 × 5 ) + ( 56 3 [ × ] 5 [ M+ ] 7 ) ­ ( 74 ­ 8 × 7 ) ] = 5 E-32 56 [ ] 7 [ M+ ] [ MRC ] [ ] 74 [ ­ ] 8 [ × ] 7 [ 2nd ] [ M­ ] [ MRC ] [ ] [ MRC ] [ MRC ] [ CL / ESC ] Example 5 (1) Assign 30 into variable A [ 2nd ] [ CL-VAR ] 30 [ SAVE ] [A][ ] 0 (2) Multiply variable A by 5 and assign the result to variable B 5 [ × ] [ 2nd ] [ RCL ] [ ][ ] E-33 [ SAVE ] [ B ] [ ] 1 (3) Add 3 to variable B [ ALPHA ] [ B ] [+]3[ ] 2 (4) Clear all variables [ 2nd ] [ CL-VAR ] [ 2nd ] [ RCL ] Example 6 (1) Set PROG 1 = cos (3A) + sin (5B), where A = 0, B = 0 [ cos ] 3 [ ALPHA ] [ A ] [ ] [ + ] [ sin ] 5 [ ALPHA ] [ B ] [ ] [ SAVE ] [ PROG ] 1 [ ] 3 (2) Set A = 20, B = 18, get PROG 1 = cos (3A) + sin (5B) = 1. 5 E-34 [ PROG ] 1 [ [ CL / ESC ] 20 ][ ] [ ][ CL / ESC ] 18 [ ] Example 7 (1) Expand the number of memories from 26 to 28 [ MATH ] [ MATH ] [ MATH ] [ MATH ] [ ] [ ]2 [ ] 4 (2) Assign 66 to variable A [ 27 ] 66 [ SAVE ] [ A ] [ ALPHA ] [ [ ] ] 27 [ ] E-35 5 (3) Recall variable A [ 27 ] [ ALPHA ] [ A ] [ ALPHA ] [ [ ] ] 27 [ ] 6 (4) Return memory variables to the default configuration [ MATH ] [ MATH ] [ MATH ] [ MATH ] [ ] [ ]0[ ] Example 8 7 + 10 × 8 2 = 47 7 [ + ] 10 [ × ] 8 [ [ ] ]2 Example 9 ­ 3. 5 + 8 4 = ­1. 5 [ ( ­ ) ] 3. 5 [ + ] 8 [ [ ] ]4 Example 10 12369 × 7532 × 74103 = 6903680613000 E-36 12369 [ × ] 7532 [ × ] 74103 [ ] Example 11 6 7 = 0. 857142857 6[ ]7[ ] [ 2nd ] [ FIX ] [ [ ] ][ ] [ ] [ 2nd ] [ FIX ] 4 [ 2nd ] [ FIX ] [ · ] Example 12 1 6000 = 0. 0001666. . . 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