Math  /  Trigonometry

QuestionGiven θ=675, find the following:\text{Given } \theta = -675^\circ, \text{ find the following:} \begin{enumerate} \item[(b)] \text{Find an angle between } 0^\circ \text{ and } 360^\circ \text{ that is coterminal with } \theta. \item[(c)] \text{Find an angle between } -360^\circ \text{ and } 0^\circ \text{ that is coterminal with } \theta. \end{enumerate}

Studdy Solution
Subtract 360360^\circ from 675-675^\circ:
675+360=315-675^\circ + 360^\circ = -315^\circ
Now, 315-315^\circ is within the range 360-360^\circ to 00^\circ.
The angles that are coterminal with θ=675\theta = -675^\circ are: (b) 45\text{(b) } 45^\circ (c) 315\text{(c) } -315^\circ

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