Question

NAME Q2. (24pts) Consider the eurve given in polar coordinates by 11 sin(0)Veos(). (-/ 2 < e</2) . r 6) Make a table of the values of the function f()- 11 sin(0) /co0) -Se/12)-/3-/4 6-/12 /12 | /6 /4 /3 | 5/12 -/2 tatwatwlaat on 1-r/2./2: all the values f(0) are to be rounded to two decimal places, (Hint. Ciaen an angle 0, enter the value of to the variable C of your caleulator, and then evaluate f(e) using the command 11xsin Cx cos C : make sure first that vour calculator is set to Radian mode). ) Use (i) to plot the points with polar coordinates (f(0),e) for all values 8 from Jable on the graph cooedinate peper on the nexd shret, and then draw a smooth rNe through the plotted points, thereby getting a sketch of the curve, ) Use () and (i) to find the area of the region of the plane enclosed by the curve

Answer 1

Ane 2 DSinecos Date -T/6 -T/12 -50/12 -/4 -/2 -G S4 FO) -6.74 - 540 C -2.80 2 12 fle GA54 61724 S12 2.80 S.40 Pht Sy mmetric grap h 2O1 2 do Area T/2 (11 Sine Jcost de Sine Cose - 2 1/2 Sia& = t Let dtt 121