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Place Your Graphing Calculator in Parametric and Degree Modes Tmin=0\mathrm { Tmin } = 0

question 155

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Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0\mathrm { Tmin } = 0 , Tmax=360\mathrm { Tmax } = 360 , Tstep=1,Xmin=\mathrm { Tstep } = 1 , \mathrm { Xmin } = 1.8,Xmax=1.8,Xscl=1,Ymin=1.2,Ymax=1.2,Yscl=1- 1.8 , X _ { \max } = 1.8 , \mathrm { Xscl } = 1 , \mathrm { Ymin } = - 1.2 , \mathrm { Y } \max = 1.2 , \mathrm { Y } \mathrm { scl } = 1 . Set the functions to X1 T=cosT,Y1 T=sinT\mathrm { X } _ { 1 \mathrm {~T} } = \cos \mathrm { T } , \mathrm { Y } _ { 1 \mathrm {~T} } = \sin \mathrm { T } . Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.
-For what angle T\mathrm { T } is sinT0.174\sin \mathrm { T } \approx 0.174 ? (Assume 0T900 ^ { \circ } \leq \mathrm { T } \leq 90 ^ { \circ } .)


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