Solutions To Exercises Functions Worksheet Page 12
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13Solutions to Exercises
37
Since the vertical side has length one we have
1
2y = 1 or y =
.
2
2
2
Further, since (x, y) in the figure is a point on the unit circle, we know that x
+y
= 1.
1
Substituting y =
into this equation gives
2
2
1
3
2
2
x
+
= 1 =⇒ x
=
.
2
4
Since x must be positive it follows that
√
3
x =
.
2
We have
√
3
1
P =
,
.
2
2
Exercise 4
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