Question

Need help with A-G

2.3.4 Activity 2.3.4. Answer the following questions exactly wherever possible. If you estimate a value, do so to at least 5 decimal places of accuracy. a. The x coordinate of the point on the unit circle that lies in the third quadrant and whose y-coordinate is y = - b. The y-coordinate of the point on the unit circle generated by a central angle in standard position that measures t = 2 radians. c. The x-coordinate of the point on the unit circle generated by a central angle in standard position that measures t = -3.05 radians. d. The value of cos(t) where t is an angle in Quadrant II that satisfies sin(t) = e. The value of sin(t) where t is an angle in Quadrant III for which cos(t) = -0.7. f. The average rate of change of f(t) = sin(t) on the intervals (0.1,0.2) and (0.8,0.9). g. The average rate of change of g(t) = cos(t) on the intervals [0.1,0.2) and (0.8,0.9).

Answer 1

xY TI Play) 1 + I P(ny) 7 TV a unit cirkte Tu x = lost y asint (Q). Pin third Qualdran. V = - 3y = Sint-> += sin(434) ++ t = 3.9896 radians X-cost X = cos(3.9896) = -0.66144 (b). + = 2 gadians [in I Quardsant] Y-cordinate-Y = Sin2 = 0.90929 (C) t= -3.05 radians. [I Qualdsant] sint = 1/2 X= Cost = cos(-3.05) = -0.99580 (d) in[ I Ourdent 3+ # =#sin(12) = 2.61799 x = lost = -0.86602 Coult) =-0.7 [+ in TL Quald aant) t=tcost (0.7) =) t = 3.93699 :, sint = -0.71414

Tz & auerage of rate of change of f(t)=sint i Average of a tht), i df(t).dt dt dt Tati Ti -I [(T2) - 47:)] Т.-Т. In interval Co., 0.2] Sin 10.2) - sinlool) Aug. of dt (4) 0 dt 0.98836 In interval [0.8,0.97 Auge4 (4) sin (0.9)-sin108) at 0:) = 0.6597 (8) Average of rade of Change of g+= cost , ft (9,6) los (b) - cos(a) [ from g)] : in Interval [0.1, 0.2] b-. loos oo -0.14937 Average coso. 2 0:) In Interval [0.8, 0-9] :-0.75096 cosoog - coso:8 Average o')