Determine all solutions to the equation 2cos x = 1 - sin x on the interval [0, 2Tt). O X = 6'6'2 O X = 6'2' 6 O 7x 3x 11x X = 6 '2'6 O * 7x 11x X = 2'6 ' 6What are all of the solutions to the equation (cos 9)(cos 9) + 'I = (sin 9)(sin 9)? O Q=+n 4 2 At an amusement park, the pendulum ride's movement from its starting position in meters can be represented by the equation {(x) = 72005; + 2, Ifx represents time measured in seconds since the ride rst began, at what times will the pendulum's movement be 4 meters from its starting position? (2 points) 0 4n + 411n seconds 0 4n+ 8m seconds 0 r! + 4m seconds 0 r! + 8m seconds At which values in the interval [0, 2nt) will the functions f (x) = 2cos20 and g(x) = -1 + 4cos 0 - 2cos20 intersect? JE 4 5 3' 3 O 0 = 7 5n 3' 3 O . = 3 3 O B 2n 5n 3 ' 3A child builds two wooden train sets. The path of one of the trains can be represented by the function y = 2sin x, where y represents the distance of the train from the child as a function of x minutes. The distance from the child to the second train can be represented by the function y = 3 + sin x. What is the number of minutes it will take until the two trains are first equidistant from the child? (2 points) 1 minute 1.5 minutes 2 minutes 37 minutes 2