Mercer County Community College    †††††††††††††††††††††† Test #3††††††††† NAME:_____________________

MAT146      †††††††††††††††††††††††††††††††††††††† PRECALC     Prof. Porter's  

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  1. How could you apply what you learned from doing your regression project to what you expect to do in your future career?

 

 

 

 

 

  1. If you travel around a unit circle that is centered at the origin, what are the (x,y) coordinates that indicate where you end up if the distance you traveled around the circle is

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† (x, y)=_______________

 

  1. Find the period, amplitude, phase shift for the function f(x) =7 sin

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Period:__________________

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Amplitude:______________

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Phase Shift:______________

 

  1. Graph one period of the function f(x) =7 sin

 

 

 

 

 


  1. How tall is a tree that casts a 15 foot shadow along the ground when the sun is at an angle of elevation is 65 degrees? Give your answer to two decimal places.

 

 

 

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

 

  1. A plane traveling at an altitude of 15 miles begins to land at an angle of decline of 3 degrees. If the plane's speed is 200 miles per hour, how long will it take for the plane to reach the ground?

 

 

 

 

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

  1. Determine the value of the trig functioncsc

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

 

  1. Find the length of 5 slices of a crust of pizza that is 16 inches in diameter? (assume 8 slices a pie)

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

 

 

 

 

  1. A person on a Ferris wheel starts at 5 feet above ground level, and after 15 seconds reaches a maximum height of 35 feet above ground level. This repeats every 30 seconds. Give the values for A, B, C, and D ifthe sin function that models the personís altitude is:

y = A sin (Bx + C) + D

 

 

 

 

 

 

 

 

 

††††††††††††††††††††††††††††††††††† †† A =_____B = ______C = ______ D = _____

 

  1. Given that the sin x = 0.4 and the tan x is negative. Find cos x and tan x.

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† cos x = _____________

 

 

tan x = _____________

 

  1. Why doesnít the sin -1 really exist? ††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

  1. Find cos ( csc -1 (3)) exactly

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

 

 

 

 

 

 

 

 

 

 

 

  1. Verify the trig identity:

 

 

††††††††††††††††††††††† cos 2x + sin2 x= cscxtanx cosx

 

 

 

 

 

 

 

  1. Convert 50 degrees to radians.

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

††††† Convert 5 radians todegrees.

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________

 

 

  1. Graph the tanx and find all solutions to tanx = 3

 

 

 

 

 

 

 

 

††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Answer:________________