Question

θ=2 find measure of θin terms of degrees, minutes, seconds.

Answer 1

\[\theta=2\pi?\]

Answer 2

\(\bf degrees=\cfrac{{\color{brown}{ radians}}\cdot 180}{\pi}\to \cfrac{{\color{brown}{ 2}}\cdot 180}{\pi}\approx 114.{\color{blue}{ 59}}^o
\\ \quad \\
\textit{there are 60 minutes in 1 degree, how many in 0.59?}
\\ \quad \\

\begin{array}{ccllll}
minute&degree
\\\hline\\
60&1\\
x&0.59
\end{array}\to \cfrac{60}{x}=\cfrac{1}{{\color{blue}{ 0.59}}}\)

Answer 3

and whatever you get in minutes, will be \(\bf 144^o\square'\)

if the amount gives you a decimal, then you'd need to get the seconds
to get the the seconds, you'd do the same \(\large \begin{array}{ccllll}
seconds&minutes
\\\hline\\
60&1\\
x&\textit{decimal amount here}
\end{array}\)

Answer 4

thank you

Answer 5

yw