My Math Forum what is the formula for Tan (A)-Tan (B) ?

 Calculus Calculus Math Forum

 June 6th, 2011, 08:42 AM #1 Member   Joined: Apr 2011 From: Sri Lanka Posts: 71 Thanks: 1 what is the formula for Tan (A)-Tan (B) ? what is the formula for Tan (A)-Tan (B) and Cot (A) - Cot(B)
June 6th, 2011, 09:01 AM   #2
Math Team

Joined: Dec 2006
From: Lexington, MA

Posts: 3,267
Thanks: 408

Re: what is the formula for Tan (A)-Tan (B) ?

Hello, silvercats!

Quote:
 $\text{What is the formula for: }\:\tan A\,-\,\tan B\:\text{ and }\:\cot A \,-\,\cot B$

$\tan A \,-\,\tan B \;=\;\frac{\sin A}{\cos A}\,-\,\frac{\sin B}{\cos B} \;=\;\frac{\sin A\cos B\,-\,\cos A\sin B}{\cos A\,\cos B} \;=\;\frac{\sin(A\,-\,B)}{\cos A\,\cos B}$

$\cot A\,-\,\cot B \;=\;\frac{\cos A}{\sin A}\,-\,\frac{\cos B}{\sin B} \;=\;\frac{\sin B\cos A\,-\,\cos B\sin A}{\sin A\,\sin B} \;=\;\frac{\sin(B\,-\,A)}{\sin A\.\sin B}$

Are these what you're looking for?

June 6th, 2011, 05:56 PM   #3
Member

Joined: Apr 2011
From: Sri Lanka

Posts: 71
Thanks: 1

Re: what is the formula for Tan (A)-Tan (B) ?

Quote:
 Originally Posted by soroban Hello, silvercats! $\tan A \,-\,\tan B \;=\;\frac{\sin A}{\cos A}\,-\,\frac{\sin B}{\cos B} \;=\;\frac{\sin A\cos B\,-\,\cos A\sin B}{\cos A\,\cos B} \;=\;\frac{\sin(A\,-\,B)}{\cos A\,\cos B}$ $\cot A\,-\,\cot B \;=\;\frac{\cos A}{\sin A}\,-\,\frac{\cos B}{\sin B} \;=\;\frac{\sin B\cos A\,-\,\cos B\sin A}{\sin A\,\sin B} \;=\;\frac{\sin(B\,-\,A)}{\sin A\.\sin B}$ Are these what you're looking for?
I think ,NO. Like Cos(A)+Cos(B)=2 Cos[(A+B)/2].Cos [(A-B)/2],there is a formula for Tan too.not just sin/cos thing

 June 6th, 2011, 07:34 PM #4 Senior Member   Joined: Apr 2007 Posts: 2,140 Thanks: 0 tan A - tan B = (1 + tan A tan B)tan(A - B)
 June 7th, 2011, 01:10 AM #5 Member   Joined: Apr 2011 From: Sri Lanka Posts: 71 Thanks: 1 Re: what is the formula for Tan (A)-Tan (B) ? That is what I as looking for.Thanks for both of you

 Tags atan, formula, tan

,

,

,

,

,

,

,

,

,

,

,

,

,

,

# tan a tan b formula

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post NuNu_dagobah Computer Science 4 January 8th, 2013 07:31 AM nsrmsm Number Theory 7 October 15th, 2012 05:36 AM r-soy Physics 3 December 23rd, 2010 08:54 PM djx18 Algebra 1 September 20th, 2009 05:25 PM agro Probability and Statistics 3 August 27th, 2009 06:17 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top