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Trigonometric Ratio and Identites question

2020 · 9 Jan · Shift 2 · Q31

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2020 · 9 Jan · Shift 2 · Q31

Trigonometric Ratio and Identites question

2020 · 9 Jan · Shift 2 · Q31

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If

x = \sum\limits_{n = 0}^\infty {{{\left( { - 1} \right)}^n}{{\tan }^{2n}}\theta }

and

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

for 0 <

\theta

<

{\pi \over 4}

, then :

A
x(1 + y) = 1
B
y(1 – x) = 1
C
y(1 + x) = 1
D
x(1 – y) = 1

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