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Basic Calculations
( )
π
4
( )
π
4
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Complex Mode and Real Mode
The Complex mode is for complex number calculations, while the Real mode is limited to
calculations within the range of real numbers. Performing a calculation in the Real mode
that produces a result that is outside the range of real numbers causes an error (Non-Real in
Calc error).
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Examples of Complex mode and Real mode calculation results
Expression Complex Mode Real Mode
solve (
x
3
–
x
2
+
x
– 1 = 0,
x
) {
x
= –
i
,
x
=
i
,
x
= 1} {
x
= 1}
i
+ 2
i
3·
i
ERROR: Non-Real in Calc
Tip
• You can select “
i
” or “
j
” for the imaginary unit. See “Specifying the Complex Number Imaginary
Unit” on page 16-15-1.
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Radian Mode, Degree Mode and Grad Mode
You can specify radians, degrees or grads as the angle unit for display of trigonometric
calculation results.
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Examples of Radian mode, Degree mode and Grad mode calculation results
Expression Radian Mode Degree Mode Grad Mode
sin (
π
/4)
2
2
sin sin
sin (45) sin (45)
2
2
sin (45)
sin (50) sin (50) sin (50)
2
2
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Assistant Mode and Algebra Mode
The Algebra mode automatically simplifies mathematical expressions produced by
calculations. No simplification is performed in the Assistant mode. In the Assistant mode,
you can view intermediate results as well, which allows you to see the steps that lead to a
particular result as shown in the “expand” example below.
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Examples of Assistant mode and Algebra mode calculation results
Expression Assistant Mode Algebra Mode
x
2
+ 2
x
+ 3
x
+ 6
x
2
+ 2
·
x
+ 3
·
x
+ 6
x
2
+ 5
·
x
+ 6
expand ((
x
+1)
2
)
x
2
+ 2
·
x
·
1 + 1
2
x
2
+ 2
·
x
+ 1
x
+ 1 (When 1 is assigned to
x
)
x
+ 1 2
Important!
The Assistant mode is available in the Main application and eActivity application only.