A point starts at the location (0,7) and moves CCW along a circle centered at (0,0). Let heta represent the number of radians the point has
swept out since it started moving. Draw a diagram of this to make sure you understand the context!
a. Suppose the point has swept out 0.3 radians since it started moving ). How many radians would need to be swept out from
the 3-o'clock position [or from (7,0) ] to get to the point's current position?
(pi )/(2)+0.3
b. Write an expression in terms of heta to represent how many radians would need to be swept out from the 3 -o'clock position to get to
the point's cument position. (Enter "theta" for heta )
c. Write a function f that determines the point's x-coordinate in terms of heta . (Recall that heta represents a number of radians swept out
from the 12-o'clock position, not the 3-o'clock position!)
f( heta )=
d. Sketch a graph of f.
A point starts at the location 0,7and moves CCW along a circle centered at 0,O.Let represent the number of radians the point has swept out since it started moving.Draw a diagram of this to make sure you understand the context! a.Suppose the point has swept out 0.3 radians since it started moving =0.3). How many radians would need to be swept out from the 3-o'clock position [or from(7,O] to get to the point's current position piv2+0.3 radiansPreview b.Write an expression in terms of to represent how many radians would need to be swept out from the 3-o'clock position to get to the point's current position.Enterthetafor Preview syntax error c.Write a function f that determines the point's x-coordinate in terms of .(Recall that represents a number of radians swept out from the 12-o'clock position,not the 3-o'clock position) f0= Preview syntaxerror d.Sketch a graph of f
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ClearA|DrawWW
