Tanx cotx = 1/2csc2x?

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▸ ▸ ▸ » Tanx cotx = 1/2csc2x?

Segs10 Posts: 1, Reputation: 1

New Member

#1

Nov 22, 2010, 06:24 PM

tanx cotx = 1/2csc2x?

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galactus Posts: 2,271, Reputation: 282

Ultra Member

#2

Nov 22, 2010, 06:33 PM

The left side is equal to 1.

$1=\frac{1}{2}csc(2x)$

$2=csc(2x)$

$2=\frac{1}{sin(2x)}$

$\frac{1}{2}=sin(2x)$

$x=\frac{sin^{-1}(\frac{1}{2})}{2}$

$x=\frac{\pi}{12}$

But, in general:

$x=\frac{(12C+5){\pi}}{12}$

and

$x=\frac{(12C+1){\pi}}{12}$

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