Find an angle theta coterminal to 792^(@), where 0^(@) <= theta < 360^(@). Answer:

Divide by 360: To find an angle coterminal to 792° that is between 0° and 360°, we need to subtract or add multiples of 360° until the angle falls within the desired range.Subtract full rotations: First, we determine how many full rotations are in 792°. Since each rotation is 360°, we divide 792 by 360. 792° ÷ 360° = 2.2 This means that 792° contains two full rotations (2 × 360° = 720°) and a part of another rotation.Find coterminal angle: Next, we subtract the full rotations from 792° to find the coterminal angle within the range of 0° to 360°. 792° - 720° = 72°The angle 72° is between 0° and 360°, so it is the coterminal angle we are looking for.

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Find an angle
theta coterminal to
792^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $792^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Math Problems

Algebra 2

Csc, sec, and cot of special angles

Full solution

Q. Find an angle

\theta

coterminal to

792^{\circ}

, where

0^{\circ} \leq \theta<360^{\circ}

\newline

Answer:

Divide by $360$ : To find an angle coterminal to $792^\circ$ that is between $0^\circ$ and $360^\circ$ , we need to subtract or add multiples of $360^\circ$ until the angle falls within the desired range.
Subtract full rotations: First, we determine how many full rotations are in $792^\circ$ . Since each rotation is $360^\circ$ , we divide $792$ by $360$ . $\newline$ $792^\circ \div 360^\circ = 2.2$ $\newline$ This means that $792^\circ$ contains two full rotations ( $2 \times 360^\circ = 720^\circ$ ) and a part of another rotation.
Find coterminal angle: Next, we subtract the full rotations from $792°$ to find the coterminal angle within the range of $0°$ to $360°$ . $\newline$ $792° - 720° = 72°$
Find coterminal angle: Next, we subtract the full rotations from $792^\circ$ to find the coterminal angle within the range of $0^\circ$ to $360^\circ$ . $792^\circ - 720^\circ = 72^\circ$ The angle $72^\circ$ is between $0^\circ$ and $360^\circ$ , so it is the coterminal angle we are looking for.