1. 1° = 60 ′ 1 ′ = 60 ″ Convert 50°6 ′ 21 ″ 50° + 6 × (1/60)° + 21 × (1/60) × (1/60)° = 50.1058° Convert 21.256 to degrees 21° +.256(60 ′ ) 21° + 15.256 ′ 21° + 15 ′ +.36(60 ″ ) 21° + 15 ′ + 22 ″ 21°15 ′ 22 ″

2. Arc Length s = arc length r = radius θ = angle Find the length of the arc of a circle of radius 2 meters subtended by a central angle of.25 radians.

3. 1 revolution = 2π 180° = π 1 ° = 1 radian = Convert 60° to radians Convert to degrees 60° × = × = 270°

4. Area of a sector Find the area of the sector of a circle of radius 2 feet formed by an angle of 30°, round answer to two decimal places

5. Linear Speed = Angular Speed = Or… v = Linear speed S = Speed t = Time = Angular Speed = Angle r = radius

11. Amplitude how high above the x axis an how below the x axis. Amplitude is absolute value of this number

12. Indicates if start curve from above axis or below axis Period: is always 2 pi over omega (in this case omega is 2). In this case period equals pi. The period indicates how long it takes the graph to go back to the same position it started so in this graph it starts at x axis and the next time it reaches that axis is at pi Transformations apply just as sine graphs do

13. Tangent functions are shifted and compressed in the same way as sin or cosine graphs.

14. Cotangent graphs are initially 90° shifted to the right or left and are opposite compared to the tangent function. Alterations to a cotangent functions change in the same ways as alterations made to a tangent function.

15. The Parabola shapes occur at the local maximums and minimums of a sin function. Asymptotes occur where the sin function would cross the x axis. Changes in the cosecant function compare directly with the changes made to the asymptote sine function.

16. The Parabola shapes occur at the local maximums and minimums of a cosine function. Asymptotes occur where the cosine function would cross the x axis. Changes in the cosine function compare directly with the changes made to the asymptote cosine function.

17. If B is positive, move graph up B units. If B is negative move graph down B units