book Maths Puzzle Numerical Ability

simplify these expressions:

(2cotB)/(1+cot^B)


the answer is supposed to be 2cosBsinB but i have no idea how that occurs.

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book Other Question

A phone company charges $1.00 for the first three minutes of a long-distance call and $0.30 each for additional minute. A 4% federal tax is then added to the coast of the call. Find the total cost of a 23 minute call. 5/3x + 3/x = 1