Trigonometry Help: Proving 1-cos@ / sin@ = tan(@/2)

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To prove the identity 1 - cos(θ) / sin(θ) = tan(θ/2), it is suggested to convert all angles into their half-angle equivalents. The discussion highlights using the identity sin(2x) = 2sin(x)cos(x) to express sin(θ) in terms of sin(θ/2) and cos(θ/2). Participants are encouraged to manipulate the left side of the equation using these half-angle identities. The conversation emphasizes the importance of aligning both sides of the equation with half-angle formulas for a successful proof. This approach is essential for simplifying the expression to demonstrate the identity.
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Homework Statement


will sum1 prove this ...@=theta
1-cos@ / sin@ = tan(@/2)

Homework Equations


The Attempt at a Solution


i tried to do this
cos@ = cos^2(@/2) - sin^2 (@/2)
wat now?
...
thats doesn't get me anywhere
 
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Since you have a half angle on the right side, you'll want to convert all angles into their half angle equivalents. For example, \sin(2x)=2\sin(x)\cos(x) therefore \sin(\theta)=2\sin\left(\frac{\theta}{2}\right) \cos \left(\frac{\theta}{2}\right)
 

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