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ID: 2111616 • Letter: #
Question
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(b)
"font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;">Polar
to Cartesian
"margin-top:1em;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;">
"padding-top:1px;width:20em;margin-right:4em;float:left;">Use the
trigonometric definition equations.
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x
=
"font-family:times;font-size:1.1em;padding-left:1px;padding-right:1px;">r
cosÃŽ ¸ =
(5.00 m) cos 37.0 ° =
>3.99
m
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"font-family:times;font-size:1.1em;padding-left:1px;padding-right:1px;">
y
=
"font-family:times;font-size:1.1em;padding-left:1px;padding-right:1px;">r
sin ÃŽ ¸ =
(5.00 m) sin 37.0 ° =
>3.01
m
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"background-color:rgb(245,222,179);padding:.2em;">
"font-weight:bold;padding-right:.5em;">Question
If
you start with the answers in part (b) and work backwards to
recover the radius and angle, there will be slight differences from
the original quantities. What caused this difference? (Select all
that apply.)
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"waMark mIncorrect" style=
"margin:0px 6px 6px 0px;padding:6px;border:1px solid rgb(221,0,0);">
"margin:0px 0px .6em 1.8em;clear:both;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;text-indent:-19.5px;">
Rounding the value of the tangent of the angle before taking its
cosine in the example.
"margin:0px 0px .6em 1.8em;clear:both;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;text-indent:-19.5px;">Rounding
the final calculated values of x and y in the example before using
them to work backwards.
"margin:0px 0px .6em 1.8em;clear:both;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;text-indent:-19.5px;">Using
inconsistent equations in doing the calculation in both
directions.
"margin:0px 0px .6em 1.8em;clear:both;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;text-indent:-19.5px;">Keeping
more than three significant figures in intermediate steps of each
calculation.
"margin:0px 0px .6em 1.8em;clear:both;font-family:verdana, helvetica, sans-serif;font-size:13px;line-height:20px;text-indent:-19.5px;">Calculator
defects.
Explanation / Answer
Rounding the final calculated values of x and y in the example before using them to work backwards.
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