 What do you know about degrees?  What do you know about Radians?

In navigation, the course or bearing of an object is sometimes given as the angle of the line of travel measured clockwise from due north. Sli de 4- 7

A central angle of a circle has measure 1 radian if it intercepts an arc with the same length as the radius. Sli de 4- 8

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How many radians are in 60 degrees? Sli de 4- 10

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 So basically, when you find the arc length of a circle, you are finding the radian!!

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 Angular speed is measured in units like revolutions per minute.  Linear speed is measured in units like miles per hour. Sli de 4- 18

 You have a car, it’s wheels are 36 inches in diameter. If the wheels are rotating at 630 rpm, find the truck’s speed in miles per hour

A nautical mile (naut mi) is the length of 1 minute of arc along Earth’s equator. Sli de 4- 21

 Statue mile is the “land mile”

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 From Boston to San Franciso is 2698 stat mi, convert it to nautical mile.

 P 356 #1-39 every other odd

 Exploration activity!  You are to cut out the unit circle I provided onto the notebook.  You are to trace as many special right triangle onto the unit circle as possible, but here is the rule. The hypotenuse of the triangle must be the radius of the circle and one leg on the axis.  Hint: You should have 3 per quadrant  After tracing it all, find the coordinates of the points that lies right on the circle and find the cumulative degrees of each point on the circle. Then answer the following questions in your group

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 Why is it called a unit circle?  How does the special right triangles and unit circle relate? What does the special right triangles give you relating to the circle?  Is it possible to convert the degrees into radians? How do you do it?

Slide The unit circle is a circle of radius 1 centered at the origin.

 *Teacher make up different problems regarding SOHCAHTOA

 *Teacher make up different practices regarding Unit Circle

 Teacher make up different practices regarding the 6 trigonometry functions

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Slide Two angles in an extended angle- measurement system can have the same initial side and the same terminal side, yet have different measures. Such angles are called coterminal angles.

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 P 366 #1-55 EOO  P 381 #1-48 EOE

FunctionInverse Function

 *Teacher make up different problems

 Pg 421 #1-32 EOO, 47,54

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 P 392 #1-52 EOE

 Why are there vertical asymptotes?

 Graph y=cos x

 Graph y = sin x

 Pg 402 #17-34