3.2 WS B from Brian Passwater

The figure shows a circle centered at the origin with an angle of measure θ in standard position. The terminal ray of the angle intersects the circle at point P. The measure of angle θ is π/3. Find the measures of the angles in standard position whose terminal ray intersects the circle at points Q, R, and S.

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The figure shows a circle centered at the origin with an angle of measure θ in standard position. The terminal ray of the angle intersects the circle at point P. The measure of angle θ is π/6. Find the measures of the angles in standard position whose terminal ray intersects the circle at points Q, R, and S.

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The figure shows a circle centered at the origin with an angle of measure θ in standard position. The terminal ray of the angle intersects the circle at point P. The measure of angle θ is π/4. Find the measures of the angles in standard position whose terminal ray intersects the circle at points Q, R, and S.

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Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant II, which of the following could be θ?

• π/4

• 5π/6

• 4π/3

• 7π/4

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant III, which of the following could be θ?

• π/3

• 3π/2

• 5π/4

• 11π/6

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant IV, which of the following could be θ?

• π/6

• π/2

• 5π/6

• 5π/3

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant I, which of the following could be θ?

• -π/6

• 11π/6

• -5π/3

• 5π/3

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant II, which of the following could be θ?

• π

• 2π/3

• 7π/6

• 7π/4

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant III, which of the following could be θ?

• 4π/3

• π/2

• 3π/4

• 5π/3

Let θ be an angle in standard position whose terminal ray intersects a circle centered at the origin at point P. If point P is in quadrant I, which of the following could be θ?

• 13π/6

• 13π/4

• 11π/4

• 11π/2