How to prove: (1-cos(x))÷sin(x)=tan(0.5x)

I have no idea how to make x become 0.5 x or whatever. I would like to know how to prove this trigonometric equation, I find it difficult. Thank you for any help.
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1 Answer

(1-cosX)/ SinX 

Use half angle formula

2 sin^2 X/2          =   sinx/2          =tanx/2 or tan 1     x  = tan 0.5x

2sinx/2. cosx/2        cosx/2                                    2

 

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