JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

x=\sum_{n=0}^{\infty}(-1)^{n} \tan ^{2 n} \theta

and

y=\sum_{n=0}^{\infty} \cos ^{2 n} \theta

, for

0<\theta<\frac{\pi}{4}

, then:

View answer and explanation

Correct option: B

y(1-x)=1

Option B (y(1-x)=1) is correct because it is derived by expressing x and y as infinite geometric series and then finding a relationship between them.

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