Convert the angle \theta=\dfrac{3\pi}{5}θ= 53π theta, equals, start fraction, 3, pi, divided by, 5, end fraction radians to degrees.Express your answer exactly.\theta=

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26-10-2022
Mathematics

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Convert the angle \theta=\dfrac{3\pi}{5}θ= 53π theta, equals, start fraction, 3, pi, divided by, 5, end fraction radians to degrees.Express your answer exactly.\theta=

$Convert the angle thetadfrac3pi5θ 53π theta equals start fraction 3 pi divided by 5 end fraction radians to degreesExpress your answer exactlytheta class=$

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MilahnQ546692 MilahnQ546692 · Answer 1 · 2022-10-26T06:49:29+02:00

MilahnQ546692 MilahnQ546692

26-10-2022

Solution:

Given

[tex]\begin{gathered} \theta=\frac{3\pi}{5} \\ \\ \end{gathered}[/tex]

Recall that;

[tex]\begin{gathered} 1\text{ }radian=\frac{180^o}{\pi} \\ \end{gathered}[/tex][tex]\begin{gathered} \frac{3\pi}{5}radian=\frac{180^o}{\pi}\times\frac{3\pi}{5} \\ \\ \frac{3\pi}{5}radian=108^o \end{gathered}[/tex]

ANSWER:

[tex]108^o[/tex]

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