Polar and rectangular coordinate conversions – HP 15c User Manual

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Section 2: Numeric Functions

For example, to find the sales tax at 3% and total cost of a $15.76 item:

Keystrokes

Display

15.76

v

15.7600

Enters the base number (the price).

3

|k

0.4728

Calculates 3% of $15.76 (the tax).

+

16.2328

Total cost of item ($15.76 + $0.47).

Percent Difference. The ∆ function calculates the percent difference
between two numbers. The result expresses the relative increase (a positive
result) or decrease (a negative result) of the second number entered
compared to the first number entered.

For example, suppose the $15.76 item only cost $14.12 last year. What is
the percent difference in last year’s price relative to this year’s?

Keystrokes

Display

15.76 v

15.7600

This year's price (our base number)

14.12 |∆

-10.4061

Last year's price was 10.41% less
than this year's price.

Polar and Rectangular Coordinate Conversions

The : and ;

functions are provided in the

HP-15C for conversions between polar
coordinates and rectangular coordinates. The
angle θ is assumed to be in the mode, whether
degrees (in a decimal format, not a minutes-
seconds format), radians, or grads. θ is
measured as shown in the illustration at right.

Polar Conversion. Pressing |:
(polar) converts a set of rectangular coordinates (x, y) to polar coordinates
(magnitude r, angle θ). The y-value must be entered first, the x-value
second. Upon executing |: r will appear in the display. Press ®
(X exchange Y) to bring θ out of the Y-register and into the display (X-
register). θ will be returned as a value between -180° and 180°, between -π
and π

radians, or between -200 and 200 grads.

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