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For 0 lt theta lt (pi)/(4), let x = sum(...

For `0 lt theta lt (pi)/(4)`, let `x = sum_(n = 0)^(oo) sin^(2n) theta, y = sum_(n = 0)^(oo) cos^(2n)theta`, then match the entries of column-I with column-II
`{:(,"Column-I",,"Column-II"),((a),sum_(0)^(oo) sin^(2n) theta cos^(2n)theta,(p),(xy^(2))/(xy^(2)-1)),((b),sum_(0)^(oo) tan^(2n) theta,(q),(y)/(y-x)),((c),sum_(0)^(oo) sin^(2n) theta cos^(4n) theta,(r),(xy)/(xy - 1)),((d),sum_(0)^(oo) cos^(2n) theta sin^(4n) theta,(s),(x^(2)y)/(x^(2)y - 1)):}`

Text Solution

Verified by Experts

The correct Answer is:
`(a) rarr (r), (b) rarr (q), (c) rarr (s), (d) rarr (p)`
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