What do you know about degrees? What do you know about
Radians?
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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
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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-
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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-
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You have a car, its wheels are 36 inches in diameter. If the
wheels are rotating at 630 rpm, find the trucks speed in miles per
hour
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A nautical mile (naut mi) is the length of 1 minute of arc
along Earths equator. Sli de 4- 21
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Statue mile is the land mile
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From Boston to San Franciso is 2698 stat mi, convert it to
nautical mile.
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P 356 #1-39 every other odd
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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?
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Slide 4- 31 The unit circle is a circle of radius 1 centered at
the origin.
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*Teacher make up different problems regarding SOHCAHTOA
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*Teacher make up different practices regarding Unit Circle
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Teacher make up different practices regarding the 6
trigonometry functions
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Slide 4- 40 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.