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the graph of y = cos x and the line y = 1/2 over the interval [0 degree,360 degree]. Where do the two graphs intersect? Give exact answers in degrees

 May 20, 2015

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 #1
avatar+26387 
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the graph of y = cos x and the line y = 1/2 over the interval [0 degree,360 degree]. Where do the two graphs intersect? Give exact answers in degrees

$$\small{\text{$ \begin{array}{rcll}\cos{(x)} &=& \frac12 \\\\\cos{(x)} &=& \frac12 & \qquad | \qquad \pm\arccos{} \\\\x_{1,2} &=& \pm \arccos{(\frac12 )}\\\\x_{1,2} &=& \pm 60 \ensurement{^{\circ}} \\\\x_{1} &=& 60 \ensurement{^{\circ}} \\\\\\
x_2 &=& -60\ensurement{^{\circ}} + 360 \ensurement{^{\circ}} \\\\
x_2 &=& 300 \ensurement{^{\circ}}
\end{array}$}}$$

 May 20, 2015
 #1
avatar+26387 
+5
Best Answer

the graph of y = cos x and the line y = 1/2 over the interval [0 degree,360 degree]. Where do the two graphs intersect? Give exact answers in degrees

$$\small{\text{$ \begin{array}{rcll}\cos{(x)} &=& \frac12 \\\\\cos{(x)} &=& \frac12 & \qquad | \qquad \pm\arccos{} \\\\x_{1,2} &=& \pm \arccos{(\frac12 )}\\\\x_{1,2} &=& \pm 60 \ensurement{^{\circ}} \\\\x_{1} &=& 60 \ensurement{^{\circ}} \\\\\\
x_2 &=& -60\ensurement{^{\circ}} + 360 \ensurement{^{\circ}} \\\\
x_2 &=& 300 \ensurement{^{\circ}}
\end{array}$}}$$

heureka May 20, 2015

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