JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

For

0 < \phi < \frac{\pi}{2}

, if

x=\sum\limits_{{n=0}}^{\infty} \cos ^{2 n} \phi, y=\sum\limits_{{n=0}}^{\infty} \sin ^{2 n} \phi

and

z=\sum\limits_{{n=0}}^{\infty} \cos ^{2 n} \phi \sin ^{2 n} \phi

, then

View answer and explanation

Correct option: C

x y z=x+y+z

Option D (

x y z=y z+x

) is incorrect. The correct option is C (

x y z=x+y+z

) because of the relationship between the sums and the trigonometric functions.

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