Question 23

Q19Long answer

If a1, a2, a3,...,an is an arithmetic progression with common difference d, then evaluate the following expression.   d  –1  d  –1  d  –1  d  tan  tan –1   + tan   + tan   + ... + tan   .   1 + a1 a2   1 + a2 a3   1 + a3 a4   1 + an –1 an  