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Novay_Z [31]
3 years ago
11

How many degrees are in a third of a full turn?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0
A full turn of a circle is 360 degrees so 1/3 of a full turn would be 120 degrees.
Mashutka [201]3 years ago
6 0
I think that answer it is 189
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anastassius [24]

Solution:

Give the following below

\begin{gathered} amplitude=3 \\ period=\frac{\pi}{2} \\ midline,\text{ }y=-1 \\ Passing\text{ through the point }(0,2) \end{gathered}

To find the cosine function, we will apply the general formula for cosine function below

\begin{gathered} f(x)=a\cos(bx-c)+d \\ Where \\ a\text{ is the amplitude} \\ b\text{ represents the speed of the cycle} \\ d\text{ is the vertical shift} \\ \frac{c}{b}\text{ is the phase shift \lparen horizontal shift\rparen} \\ Period=\frac{2\pi}{b} \end{gathered}

To find the value of b

\begin{gathered} Period=\frac{\pi}{2} \\ \frac{2\pi}{b}=\frac{\pi}{2} \\ Crossmultiply \\ b\times\pi=2\times2\pi \\ b=\frac{4\pi}{\pi} \\ b=4 \end{gathered}\begin{gathered} a=3 \\ b=4 \\ d=-1 \\ c=0 \end{gathered}

Substitute the values of the variables into the general formula for cosine function

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Applying a graphing tool,

The graph of one cycle of the function is shown below

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