Find an angle theta coterminal to 645^(@), where 0^(@) <= theta < 360^(@). Answer:

Understand coterminal angles: Understand the concept of coterminal angles. Coterminal angles are angles that share the same initial and terminal sides but may differ by any number of full rotations (360°). To find a coterminal angle within a specific range, we can add or subtract multiples of 360° from the given angle.Subtract 360° from 645°: Subtract 360° from 645° until the result is between 0° and 360°. Starting with 645°, we subtract 360°: 645° - 360° = 285°. Since 285° is between 0° and 360°, this is a coterminal angle to 645° within the desired range.

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

Find an angle $\theta$ coterminal to $645^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Math Problems

Algebra 2

Inverses of sin, cos, and tan: radians

Full solution

Q. Find an angle

\theta

coterminal to

645^{\circ}

, where

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

\newline

Answer:

Understand coterminal angles: Understand the concept of coterminal angles. Coterminal angles are angles that share the same initial and terminal sides but may differ by any number of full rotations ( $360^\circ$ ). To find a coterminal angle within a specific range, we can add or subtract multiples of $360^\circ$ from the given angle.
Subtract $360$ ° from $645$ °: Subtract $360$ ° from $645$ ° until the result is between $0°$ and $360°$ . Starting with $645°$ , we subtract $360°$ : $645° - 360° = 285°$ . Since $285°$ is between $0°$ and $360°$ , this is a coterminal angle to $645°$ within the desired range.