Find an angle theta coterminal to 1043^(@), where 0^(@) <= theta < 360^(@). Answer:

Divide by 360: To find an angle coterminal to 1043° that lies between 0° and 360°, we need to subtract or add multiples of 360° until the angle is within the desired range.Subtract full rotations: First, we determine how many full rotations of 360° are contained in 1043°. We do this by dividing 1043 by 360. 1043 ÷ 360 ≈ 2.8972 This means that 1043° contains 2 full rotations plus some extra degrees.Calculate coterminal angle: Since we are only interested in the extra degrees, we subtract the full rotations (2 × 360°) from 1043°. 1043° - (2 × 360°) = 1043° - 720° = 323°The result, 323°, is the coterminal angle to 1043° that lies between 0° and 360°.

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Find an angle
theta coterminal to
1043^(@), where
0^(@) <= theta < 360^(@).
Answer:

Find an angle $\theta$ coterminal to $1043^{\circ}$ , where 0^{\circ} \leq \theta<360^{\circ} . $\newline$ Answer:

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Math Problems

Algebra 2

Find trigonometric ratios using reference angles

Full solution

Q. Find an angle

\theta

coterminal to

1043^{\circ}

, where

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

\newline

Answer:

Divide by $360$ : To find an angle coterminal to $1043^\circ$ that lies between $0^\circ$ and $360^\circ$ , we need to subtract or add multiples of $360^\circ$ until the angle is within the desired range.
Subtract full rotations: First, we determine how many full rotations of $360°$ are contained in $1043°$ . We do this by dividing $1043$ by $360$ . $\newline$ $1043 \div 360 \approx 2.8972$ $\newline$ This means that $1043°$ contains $2$ full rotations plus some extra degrees.
Calculate coterminal angle: Since we are only interested in the extra degrees, we subtract the full rotations $2 \times 360^\circ$ from $1043^\circ$ . $1043^\circ - (2 \times 360^\circ) = 1043^\circ - 720^\circ = 323^\circ$
Calculate coterminal angle: Since we are only interested in the extra degrees, we subtract the full rotations $2 \times 360^\circ$ from $1043^\circ$ . $1043^\circ - (2 \times 360^\circ) = 1043^\circ - 720^\circ = 323^\circ$ The result, $323^\circ$ , is the coterminal angle to $1043^\circ$ that lies between $0^\circ$ and $360^\circ$ .