HP 35s User Manual

 
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HP 35s  Solving Trigonometry Problems 
 
hp calculators - 3 - HP 35s  Solving Trigonometry Problems - Version 1.0 
Solution: In RPN mode, calculate !/2, then press . 
 
 ./0. 
 
 In algebraic mode, press  then calculate !/2. 
 
 ./0-.  
 
 Figure 2 
 
Answer:  The sine of !/2 radians is calculated as exactly 1 
 
Example 3: Show that the rule sin²(x) + cos²(x) = 1 applies correctly when x is 30°. 
 
Solution: First, remember to set the required angle mode. Press 9&. 
 
 In algebraic...

 
hp calculators 
 
HP 35s  Solving Trigonometry Problems 
 
hp calculators - 4 - HP 35s  Solving Trigonometry Problems - Version 1.0 
 
   Figure 6 
 
 In RPN mode, the calculation can be done like this: 
 
 512(1246127050(018%
 
 In algebraic mode, calculate: 
 
%184125*412(*7126**0050(-%
 
 Figure 7 
 
Answer:  The angle opposite the 7 inch side is 120 degrees. This means that three tiles will fit together exactly with 
this angle pointing inwards, as they would make up 360 degrees. 
 
Example 5: A...

 
hp calculators 
 
HP 35s  Solving Trigonometry Problems 
 
hp calculators - 5 - HP 35s  Solving Trigonometry Problems - Version 1.0 
 Then, enter the Y magnitude, press the 6 key, and enter the X magnitude. Then press -. 
 
 ;

 
 
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HP 35s  Solving systems of linear equations 
 
 
 
 
Systems of linear equations 
 
Using the built-in solver equations  
 
Practice solving linear systems 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

 
hp calculators 
 
HP 35s  Solving systems of linear equations 
 
hp calculators - 2 - HP 35s  Solving systems of linear equations - Version 1.0 
Systems of linear equations 
 
A system of linear equations is a set of linear equations involving two or more variables. A basic problem is to determine 
if there are values for the variables that will allow each equation in the set to be solved so that the left side of the 
equation equals the right side of the equation. Linear systems appear in many...

 
hp calculators 
 
HP 35s  Solving systems of linear equations 
 
hp calculators - 3 - HP 35s  Solving systems of linear equations - Version 1.0 
Solution: In either RPN or algebraic mode, make sure the 2*2 lin. solve” equation is shown at the bottom of the 
equation screen and press # equation is. The display should appear like the one below before 
beginning the solution by pressing #.$ 
 Figure 2 
$
 Figure 3 
 
 The HP 35s prompts you to enter the value of the first coefficient. It displays the...

 
hp calculators 
 
HP 35s  Solving systems of linear equations 
 
hp calculators - 4 - HP 35s  Solving systems of linear equations - Version 1.0 
Answer: The system has the solution X = 4, Y = -2. 
 
Example 2: Solve the 3x3 linear system: 
 
 4 X +     5 Y +     Z = 0 
 3 X +     2 Y  -     Z = 7 
-1 X + 112 Y +  3 Z = 127 
. 
Solution: In either RPN or algebraic mode, make sure the 3*3 lin. solve” equation is shown at the bottom of the 
equation screen and press # equation is. The display should...

 
hp calculators 
 
HP 35s  Solving systems of linear equations 
 
hp calculators - 5 - HP 35s  Solving systems of linear equations - Version 1.0 
 Figure 10 
$
 Figure 11 
 
 To view the solutions as fractions, when X, Y, and Z are displayed, press 0$and the results are 
shown as: 
$
 Figure 12 
$
 Figure 13 
$
 Figure 14 
 
Answer: The solution to the system of linear equations is { X = -3/11, Y = 1 3/11, Z = -5 3/11 }