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Given that 0 lt x lt (pi)/(4), (pi)/(4) ...

Given that 0 `lt x lt (pi)/(4), (pi)/(4) lt y lt (pi)/(2) and sum_(k = 0)^(infty) (-1)^(k) tan^(2k) x = p, sum_(k = 0)^(infty)(-1)^(k) cot^(2k) y = q `then
`sum_(k = 0)^(infty) tan^(2k) x cot^(2k) y ` is

A

`(1)/(p) + (1)/(q) - (1)/(pq)`

B

`(1)/((1)/(p)+(1)/(q) - (1)/(pq))`

C

p + q - pq

D

p + q + pq

Text Solution

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The correct Answer is:
B
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