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# Answer_Key.Nov.09.Game - a Sketch a graph of this motion...

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Answer Key 1.) Convert the angle from degrees to radians, in exact form. 200 degrees 200 x 180 π = 9 10 2.) Convert the angle from radians to degrees 4 3 4 3 x 180 = -135 degrees 3.) Determine the exact value of the trigonometric ratio: a.) Cos 4 5 b.) sec 3 5 cos 4 5 = r x sec 3 5 = x r = 2 1 = 1 2 4.) A leaning flagpole 7m long makes an obtuse angle with the ground. If the distance from the tip to the flagpole to the ground is 4m, determine the radian measure of the obtuse angle to the nearest hundredth. Sin -1 ( 7 4 )=0.61 4m 7m -0.61=2.5 θ - 5.) Sketch the graph; y = 2 tan( 2 1 (x+ 2 ) -1 6.) The trig function for y = cosx has gone through the following transformations. Determine the equation of the resulting function and sketch its graph.

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π Vertical stretch by a factor of 2 and a horizontal translation 2 to the right Equation: y=2cos(x- 2 ) Points on the graph: ( 2 ,3) ( ,2) ( 2 3 ,1) ( 2 ,2) ( 2 5 ,3) 7.) A pendulum swings back and forth 9 times in 6 seconds. It swings through a horizontal distance of 30m.
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Unformatted text preview: a.) Sketch a graph of this motion for one cycle, beginning to the pendulum at the end of its swing. b.) Find the equation Amplitude: 15 Period: 9 6 = 3 2 Scale: 3 2 x 4 1 = 6 1 K=2 / 3 2 =3 Y=15cos(3 t) 8.) Determine the equation of the following graph Amplitude: 2 ) 4 ( 2 − − =3 EOA: 2 ) 4 ( 2 − + =-1 K= 2 =2 No translation y=3sin(2x)-1 9.) Graph the function y = 2secx + 4 10.) The equation H(x)=3cos( 2 π t) +2 models the height H in metres of a rider on a Ferris wheel above the ground. Find the time when the rider first reaches a height of 4m. y=3cos( 2 t) +2 4=3cos( 2 t) +2 2=3cos( 2 t) 3 2 =cos( 2 t) Cos-1( 3 2 )=0.841 0.841=( 2 t) 0.841x 2 =t 0.54=t 11.) for y=-5sin( 2 1 x)-9 Find the AROC over the interval 4 ≤ x ≤ AROC = 4 3 ) 4 F(-) F( = 4 (-10.91)-14-− 4 3 (-10.91)-14--1.311...
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Answer_Key.Nov.09.Game - a Sketch a graph of this motion...

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