Appendix
A-2: Arithmetic Calculations
Example A-2.5
Find exact and floating-point (decimal) values for each of the following:
sinπ/4, cos1, tanπ/12, sec−12/3
Note: The Maple names of the six trig functions are sin,cos,tan,cot,sec,csc. The names of the six inverse trig functions are arcsin, arccos, arctan, arccot, arcsec, and arccsc. In math mode, sin−1x, etc., would be an equivalent notation for the inverse trig functions.
Solution
Interactive Solution
Type the expression. Press Enter. Note: Set a single-line fraction by typing a backslash (\) before the forward slash (/).
Context Panel: Approximate≻10
sinπ/4
122
→at 10 digits
0.7071067810
Type the expression. Press Enter. There is no better expression for the exact value than cos1.
cos1
cos1
0.5403023059
Type the expression. Press Enter. This time there is a better expression for the exact value, but Maple does not provide it automatically.
Context Panel: Conversions≻To Radical
tanπ/12
tan112π
= radical form
2−3
0.267949192
Type either sec−1 or arcsec.
Context Panel: Evaluate and Display Inline
sec−12/3 = 16π→at 10 digits0.5235987758
Coded Solution
Assign the expression and use evalf.
q≔sinπ/4; evalfq
q≔cos1; evalfq
Radical form: Use the convert command as shown.
q≔tanπ/12; evalfq
convertq,radical
In math mode type either sec−1 or arcsec.
q≔sec−12sqrt3; evalfq
Two commands can be placed on the same line but they must be separated with either a semi-colon (;) or a colon (:).
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