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2 years ago

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Mathematics

1 answer:

Svetach [21]2 years ago

6 0

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

$m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ$

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Answer:

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Splitting the denominator the identity becomes

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$tanAsecA-cotAcosecA$

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