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Inverse Functions: Express your answer in degrees, minutes, seconds to the nearest hundredth of a second.

Find the size of the angle that has a cosine of .4444.

ManuelBautista2019  Apr 5, 2018
#1
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Inverse Functions: Express your answer in degrees, minutes, seconds to the nearest hundredth of a second.

1.

$$\begin{array}{|rcll|} \hline \cos(\varphi_1) &=& 0.4444 \\ \varphi_1 &=& \arccos(0.4444) \\ \varphi_1 &=& 63.6150426705^{\circ}\\ \varphi_1 &=& 63^{\circ}\ 36^{'}\ 54.15^{''}\\ \hline \end{array}$$

2.

$$\begin{array}{|rcll|} \hline \cos(\varphi_2) &=& 0.4444 \\ \varphi_2 &=& -\arccos(0.4444) + 360^{\circ} \\ \varphi_2 &=& -63.6150426705^{\circ} + 360^{\circ} \\ \varphi_2 &=& 296.384957330^{\circ} \\ \varphi_2 &=& 296^{\circ}\ 23^{'}\ 5.85^{''}\\ \hline \end{array}$$

heureka  Apr 5, 2018
#2
+1317
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so what is the correct answer?

ManuelBautista2019  Apr 5, 2018