1. Angles and Their Measure
EQ: How do I measure angles and put them in standard position? What are radians and how do they relate to degrees and trigonometry in general?
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3. Standard position: Vertex is at the origin
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4. Finding Coterminal Angles
Two angles with the same initial and terminal sides but
possibly different rotations are called coterminal angles.
Assume the following angles are in standard position. Find a positive angle less than 360° that is coterminal with each of the following:
a ° angle = 400° – 360° = 40°
b. –135° angle = 360° – 135° = 225°

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6. Convert 40°12’5” to a decimal in degrees
Convert 40°12’5” to a decimal in degrees. Round the answer to four decimal places.
Convert ° to the D°M’S” form. Round the answer to the nearest second.
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9. Definition of a Radian
One radian is the measure of the central angle of a circle that intercepts an arc equal in length to the radius of the circle.

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11. Find the length of the arc of a circle of radius 4 meters subtended by a central angle of 0.5 radian.
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13. 360°
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14. (a) 30° (b) 120° (c) – 60° (d) 270° (e) 104 °
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15. Draw and label the angle in standard position.
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18. Find the area of the sector of a circle of radius 5 feet formed by an angle of 60°. Round the answer to two decimal places.
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19. Simplify Radicals
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20. Ex. Given (8, - 6) as a point on the terminal side, find the six trig values.
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21. Ex. Find the values of the remaining trig ratios, given that cos Θ = - 8/17 and Θ lies in quadrant III.
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22. Ex. Let θ be an angle in standard position
Ex. Let θ be an angle in standard position. Name the quadrant in which θ lies if:
Sin Θ > 0 and Sec Θ < 0
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