December 5th, 2016, 11:52 PM  #1 
Newbie Joined: Dec 2016 From: new Jersey Posts: 2 Thanks: 0  trig function question 2
Rachel is bowling with her friends. Her bowling ball has a radius of 4.3 inches. As she bowls, she tracks the location of the finger hole above the ground. She starts tracking the location when the finger hole is at the 12 o'clock position and she notices that she got some backspin on the ball and it rotates counterclockwise. The finger hole changes by 45 degrees. Define a function, f, that gives the height of the finger hole above the ground (in inches) in terms of the angle of rotation (measured in radians) it has swept out from the 12 o'clock position, a. Last edited by skipjack; December 6th, 2016 at 08:38 AM. 
December 6th, 2016, 03:34 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,569 Thanks: 1272 
$0 \le \theta \le \dfrac{\pi}{4}$ $f(\theta) = r(1+\cos{\theta})$ where $r$ is the radius of the ball. 
December 6th, 2016, 09:05 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 17,477 Thanks: 1313 
For swept angle $\theta$, where $\theta \in\hspace{1px}$[0, $\pi/4$], the hole has height given by f$(\theta) = 4.3(1 + \cos(\theta))$ inches.


Tags 
function, question, trig 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
question about trig function  eagle2020  Trigonometry  3  December 6th, 2016 09:26 AM 
Trig Function to a+bi  WWRtelescoping  Complex Analysis  4  February 26th, 2014 12:48 PM 
function of a trig function integral  jimooboo  Calculus  3  February 26th, 2012 01:07 PM 
trig function  anthonye  Trigonometry  11  February 10th, 2012 06:55 AM 
Trig  Roots using Trig Form Question  Bihzad  Algebra  1  March 11th, 2009 01:48 PM 