a.
To explain: The reason that
The measure of an inscribed angle that intercept an arc of
Given information: A triangle
Figure (1)
Explanation:
According to inscribed angle theorem, the measure of an inscribed angle is the half of the measure of its intercepted arc.
The measure of intercepted arc inscribed in a circle is
Thus,
b.
To explain: The reason that
The given
Given information: A triangle
Figure (1)
Explanation:
From the figure it can be observed that,
It is known that if two inscribed angles intercept the same arc then the angle are said to be congruent. So,
Thus,
c.
To explain: The reason that
The value
Given information: A triangle
Figure (1)
Explanation:
In part (a), it is proved that
Diameter
Apply the trigonometric ratio of sine in
Thus,
d.
To explain: The reason that
The value
Given information: A triangle
Figure (1)
Explanation:
In part (c), it is proved that
In part (b),
Substitute
Thus, value
e.
To check: The ratio
Yes,
Given information: A triangle
Figure (1)
Explanation:
In
From part (d), it is proved that
Thus,
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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