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HP 35s User Manual

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Page 91

 
 
hp calculators 
 
 
 
 
HP 35s  Solving Simple Trigonometry Problems 
 
 
 
 
The trigonometric functions 
 
Degrees, radians and gradians 
 
Practice working problems involving trig functions 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 92

 
hp calculators 
 
HP 35s  Solving Simple Trigonometry Problems 
 
hp calculators - 2 - HP 35s  Solving Simple Trigonometry Problems - Version 1.0 
The trigonometric functions 
 
The trigonometric functions, sine, cosine, tangent, and related functions, are used in geometry, surveying, and design. 
They also occur in the solutions to orbital mechanics, integration, and other advanced applications. 
 
The HP 35s provides the three basic functions, and their inverse, or “arc” functions. These work in...

Page 93

 
hp calculators 
 
HP 35s  Solving Simple Trigonometry Problems 
 
hp calculators - 3 - HP 35s  Solving Simple Trigonometry Problems - Version 1.0 
 Figure 3 
Answer:  The sine of !/2 radians is calculated as exactly 1. Answers will not always be exact as in this case. The  
HP 35s works with 12 decimal digits, so trigonometric calculations can be expected to be accurate to 12 
decimal places. For example the sine of ! radians is calculated as 2!10-13, displayed as 2E-13, which is 
correctly equal to...

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Page 95

 
 
hp calculators 
 
 
 
 
HP 35s  Logarithmic functions 
 
 
 
 
Log and antilog functions 
 
Practice working problems involving logarithms 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 96

 
hp calculators 
 
HP 35s  Logarithmic functions 
 
hp calculators - 2 - HP 35s  Logarithmic functions - Version 1.0 
Log and antilog functions 
 
Before calculators like the HP 35s became easily available, logarithms were often used to simply multiplication. They are 
still used in many subjects, to represent large numbers, as the result of integration, and even in number theory. 
 
The HP 35s has four functions for calculations with logarithms. These are the “common” logarithm of “x”, !, its 
inverse,...

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hp calculators 
 
HP 35s  Logarithmic functions 
 
hp calculators - 3 - HP 35s  Logarithmic functions - Version 1.0 
 Figure 3 
 
Answer:  e is equal to 2.71828182846. The pattern 18 – 28 – 18 – 28 is easy to remember. 
 
Example 3: What is the value of X, in the equation: 2X = 8? 
 
Solution: To solve this example, well apply one of the properties of logarithms which states that the logarithm of an 
base taken to a power is equal to the power multiplied by the log of the base. This involves taking the...

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Page 99

 
 
hp calculators 
 
 
 
 
HP 35s  Hyperbolic functions 
 
 
 
 
Hyperbolic trigonometric functions 
 
Practice using hyperbolic trigonometric functions 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   

Page 100

 
hp calculators 
 
HP 35s  Hyperbolic functions 
 
hp calculators - 2 - HP 35s  Hyperbolic functions - Version 1.0 
Hyperbolic trigonometric functions 
 
Trigonometric functions are often called “circular” functions, because the value for the cosine and sine of an angle lie on 
the unit circle defined by X2 + Y2 = 1 (points on the unit circle will have the X and Y coordinate of (Cosine(theta), 
Sine(theta))). Hyperbolic trigonometric functions have a similar relationship, but with the hyperbola defined...
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