What can you explore with the Sinclair Cambridge Scientific calculator?

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SUMMARY

The Sinclair Cambridge Scientific calculator is capable of performing trigonometric functions such as Tan(cos(sin(x))) and accurately calculates expressions like e^π - π. Users have noted the significant time delay in computing functions like sine and square roots of fractions, particularly with older models. Comparisons with modern calculators, such as Casio, reveal that while the Sinclair provides correct results, the speed of computation is markedly slower. Further exploration into the algorithms used by the Sinclair calculator is recommended for deeper understanding.

PREREQUISITES
  • Understanding of trigonometric functions (sin, cos, tan)
  • Basic knowledge of scientific calculators and their functions
  • Familiarity with mathematical constants such as e and π
  • Experience with algorithmic thinking in mathematical computations
NEXT STEPS
  • Research the algorithms used in the Sinclair Cambridge Scientific calculator
  • Explore the differences in computational speed between vintage and modern calculators
  • Learn about the historical context and evolution of scientific calculators
  • Investigate advanced trigonometric calculations and their applications
USEFUL FOR

This discussion is beneficial for educators, mathematics enthusiasts, and anyone interested in the historical development of calculators and their computational capabilities.

mrcotton
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I just purchased a Sinclair Cambridge Scientific calculator so I could try something showing my son what calculators were like when I was a boy. I have taken a number and then Tan(cos(sin(x))) then inversed back through the functions to show how different the numbers are on the modern and the old.
Has anyone got any ideas on other things you can show or explore. It takes a perceptible time calculate sin.
Thanks
Dave
 
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mrcotton said:
I just purchased a Sinclair Cambridge Scientific calculator so I could try something showing my son what calculators were like when I was a boy. I have taken a number and then Tan(cos(sin(x))) then inversed back through the functions to show how different the numbers are on the modern and the old.
Has anyone got any ideas on other things you can show or explore. It takes a perceptible time calculate sin.
Thanks
Dave

Does it give the correct answer for e^\pi - \pi ?

Also on a really old calculator my dad has it'll take ages to work out the square roots of fractions (even for quite easy ones like 1/144)
 
Thanks for responding

It seem to calculate that correctly when compared to the same calculation on my modern casio.
With the Sin cos Tan then inverse function with an initial input of 5 you get when get back to arctan you have a value of one. It seems to have the closest return value at around 60 degrees. It final value is 67.497
I need to have a further think about this, and have a look around to see if I can find what algorithms it uses to calculate the functions
 
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