Find an angle theta coterminal to -147^(@), where 0^(@) <= theta < 360^(@). Answer:

Add 360 degrees: To find an angle coterminal to -147 degrees that is between 0 degrees and 360 degrees, we need to add or subtract multiples of 360 degrees until we get an angle in the desired range. Since -147 degrees is negative, we will add 360 degrees to it. Calculation: -147 degrees + 360 degrees = 213 degreesCheck within range: Now we need to check if the resulting angle, 213 degrees, is within the range of 0 degrees to 360 degrees. Since 213 degrees is greater than 0 degrees and less than 360 degrees, it is within the desired range.

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Find an angle
theta coterminal to
-147^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $-147^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find a value

Full solution

Q. Find an angle

\theta

coterminal to

-147^{\circ}

, where

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

\newline

Answer:

Add $360$ degrees: To find an angle coterminal to $-147$ degrees that is between $0$ degrees and $360$ degrees, we need to add or subtract multiples of $360$ degrees until we get an angle in the desired range. Since $-147$ degrees is negative, we will add $360$ degrees to it. $\newline$ Calculation: $-147$ degrees + $360$ degrees = $213$ degrees
Check within range: Now we need to check if the resulting angle, $213$ degrees, is within the range of $0$ degrees to $360$ degrees. $\newline$ Since $213$ degrees is greater than $0$ degrees and less than $360$ degrees, it is within the desired range.