# Prooving trig question

• April 9th 2010, 12:41 PM
sigma1
Prooving trig question
am trying to prove the this trig question but i have been unsucessful.

Tan A+ Cot A = 2Cosec 2A
• April 9th 2010, 01:02 PM
Quote:

Originally Posted by sigma1
am trying to prove the this trig question but i have been unsucessful.

Tan A+ Cot A = 2Cosec 2A

Hi sigma1,

$tanA+cotA=\frac{sinA}{cosA}+\frac{cosA}{sinA}=\fra c{sinA}{sinA}\frac{sinA}{cosA}+\frac{cosA}{cosA}\f rac{cosA}{sinA}$

$=\frac{sin^2A+cos^2A}{sinAcosA}=\frac{1}{sinAcosA} =\frac{1}{\frac{1}{2}sin2A}$

$=\frac{2}{sin2A}=2cosec2A$
• April 9th 2010, 01:12 PM
sigma1
thanks alot i almost had that one i see where i got stuck...