am trying to prove the this trig question but i have been unsucessful.

Tan A+ Cot A = 2Cosec 2A

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- Apr 9th 2010, 12:41 PMsigma1Prooving trig question
am trying to prove the this trig question but i have been unsucessful.

Tan A+ Cot A = 2Cosec 2A - Apr 9th 2010, 01:02 PMArchie Meade
Hi sigma1,

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

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

$\displaystyle =\frac{2}{sin2A}=2cosec2A$ - Apr 9th 2010, 01:12 PMsigma1
thanks alot i almost had that one i see where i got stuck...