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**1. Homework Statement**

integrate with respect to x

**2. Homework Equations**

*integral of*cos x / (2 - cos x) dx

**3. The Attempt at a Solution**

I attempted to use the substitution of tan (x/2) but got lost in it. I dont think it was correct to subsititute t = tan(x/2) because it was not in the correct form. [am i right in thinking to substitute in t=tan(x/2) we need an equation of the form 1 / (a + bsinx + ccosx) ?]

I also tried dividing top and bottom by cos x but I am unsure if this would lead me anywhere.

I'm hoping for a little pointer in how to start.

Thanks.