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Solution 4.2:3c
From Förberedande kurs i matematik 1
Revision as of 11:57, 28 September 2008 by Ian (Talk | contribs)
We can add and subtract multiples of
2
to or from the argument of the sine function without changing its value. The angle
2
corresponds to a whole turn in a unit circle and the sine function returns to the same value every time the angle changes by a complete revolution.
For example, if we can subtract sufficiently many
2
s from
9, we will obtain a more manageable argument which lies between
0
and
2,
sin 9=sin9−2−2−2−2=sin
The line which makes an angle
with the positive part of the
x
-axis is the negative part of the
x
-axis
and it cuts the unit circle at the point
−10, which is why we can see from the
y
-coordinate that
sin 9=sin =0.
9
=sin
0
