October 12th, 2010, 08:14 PM  #1 
Member Joined: Sep 2010 Posts: 55 Thanks: 0  tangent help
tan u=6 tan v=3 with u and v both in the interval (0,pi/2) what is csc v? 
October 12th, 2010, 08:27 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: tangent help
Use the Pythagorean identity 1 + cot²(?) = csc²(?) and tan(?) = 1/cot(?). Since v is in the first quadrant, use the positive root. I don't see where we even need the information about u. 
October 12th, 2010, 08:35 PM  #3 
Member Joined: Sep 2010 Posts: 55 Thanks: 0  Re: tangent help
what is cot (theta)^2?

October 12th, 2010, 08:37 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: tangent help
If tan(v) = 3, then cot(v) = 1/3, so cot²(v) = 1/9.

October 12th, 2010, 08:41 PM  #5 
Member Joined: Sep 2010 Posts: 55 Thanks: 0  Re: tangent help
ok awesome! thank you!


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