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Show Examples Question Find an angle in each quadrant with a common reference angle with 66^(@), from 0^(@) <= theta < 360^(@) Answer Attempt 1 out of 2 Quadrant I: Quadrant II: Quadrant III: Quadrant IV: Submit Answer

Show Examples\newlineQuestion\newlineFind an angle in each quadrant with a common reference angle with 66∘ 66^{\circ} , from 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} \newlineAnswer Attempt 11 out of 22\newlineQuadrant I:\newlineQuadrant II:\newlineQuadrant III: Quadrant IV:\newlineSubmit Answer

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Q. Show Examples\newlineQuestion\newlineFind an angle in each quadrant with a common reference angle with 66∘ 66^{\circ} , from 0∘≤θ<360∘ 0^{\circ} \leq \theta<360^{\circ} \newlineAnswer Attempt 11 out of 22\newlineQuadrant I:\newlineQuadrant II:\newlineQuadrant III: Quadrant IV:\newlineSubmit Answer
  1. Concept of Reference Angle: Understand the concept of a reference angle. A reference angle is the acute angle formed by the terminal side of an angle and the x-axis. It is always between 00 and 9090 degrees and is the same for angles that differ by multiples of 180180 degrees.
  2. Identify Reference Angle: Identify the reference angle for the given angle.\newlineThe given angle is 6666 degrees, which is in Quadrant I. Since it is already an acute angle, the reference angle is the same: 6666 degrees.
  3. Angle in Quadrant II: Find the angle in Quadrant II that shares the reference angle.\newlineTo find an angle in Quadrant II with the same reference angle, we subtract the reference angle from 180180 degrees: 180−66=114180 - 66 = 114 degrees.
  4. Angle in Quadrant III: Find the angle in Quadrant III that shares the reference angle.\newlineTo find an angle in Quadrant III with the same reference angle, we add the reference angle to 180180 degrees: 180+66=246180 + 66 = 246 degrees.
  5. Angle in Quadrant IV: Find the angle in Quadrant IV that shares the reference angle.\newlineTo find an angle in Quadrant IV with the same reference angle, we subtract the reference angle from 360360 degrees: 360−66=294360 - 66 = 294 degrees.

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