trig functions: verifying identities

• October 14th 2007, 05:06 PM
loganmeyers
trig functions: verifying identities
how would you verify SIN(X)/ 1+COS(X) + SIN(X)/1-COS(X) = 2CSC(X)
• October 14th 2007, 05:24 PM
Jhevon
Quote:

Originally Posted by loganmeyers
how would you verify SIN(X)/ 1+COS(X) + SIN(X)/1-COS(X) = 2CSC(X)

start with the left hand side. you are going to manipulate it until you get the right hand side.

begin by combining the fractions, then simplify
• October 14th 2007, 07:05 PM
Krizalid
Quote:

Originally Posted by loganmeyers
SIN(X)/ 1+COS(X) + SIN(X)/1-COS(X) = 2CSC(X)

$\frac{{\sin x}}
{{1 + \cos x}} + \frac{{\sin x}}
{{1 - \cos x}} = \sin x\left( {\frac{1}
{{1 + \cos x}} + \frac{1}
{{1 - \cos x}}} \right) = \frac{{2\sin x}}
{{\sin ^2 x}}$

Can you take it from there?