Question

For the rotation − 104 3 ∘ −1043 ∘ , find the coterminal angle from 0 ∘ ≤ θ < 36 0 ∘ 0 ∘ ≤θ<360 ∘ , the quadrant and the reference angle.

Answer 1

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Answer:

• co-terminal: 37°
• 1st quadrant
• reference angle: 37°

Step-by-step explanation:

-1043°/360° ≈ -2.9

Adding 3×360° will give a co-terminal angle in the range 0-360°:

  -1043° +1080° = 37°

This co-terminal angle is in the first quadrant. It is also the reference angle.