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The point P(√3 /2, y) is on the unit circle in quadrant. IV. Find its y-coordinate. ... Example: Find the terminal point on the unit circle.
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A circle of radius 1 centered at the origin in the
xy-plane.
The equation is: x
2
2
x
y
1
0
x
2
2
= 1
A Point on the Unit Circle
Example:
Show that the point P( √
circle.
Locating a Point on the Unit Circle
Example:
The point P( √
3 /2, y) is on the unit circle in quadrant
IV. Find its y-coordinate.
Terminal Points on the Unit Circle
x
y
1
0
P(x,y)
t > 0
Terminal point P(x,y) determined by t > 0
Terminal point P(x,y) determined by t < 0
x
y
1
0
P(x,y)
t < 0
Finding Terminal Points
Example: Find the terminal point on the unit circle
determined by each real number t.
a) t = 3 π b) t = - π c) t = - π/
x
y
Example: Find the reference number for each value of t.
a) t = 5 π/6 b) t = 7 π/4 c) t = -2π/3 d) t = 5.
Using Reference Numbers to Find Terminal Points
a) t = 5 π/6 b) t = 7 π/4 c) t = -2π/3 d) t = 29 π/
a, ±
b), where the signs are
chosen according to the quadrant in which the terminal
point lies.
