Question

if $\large\rm { 0< \varphi < \pi/2}$

$\large\rm { x = \displaystyle\sum_{n=0}^{ \infty} \cos^{2n} \varphi}$

$\large\rm { y = \displaystyle\sum_{n=0}^{ \infty} \sin^{2n} \varphi}$

$\large\rm { z = \displaystyle\sum_{n=0}^{ \infty} \cos^{2n} \varphi \ \sin^{2n} \varphi}$ , then which of the following statement is correct?

a) xyz = xz + y
b) xyz = xy + y
c) xyz = xy + z
d) xyz = yz + x

Give full explanation answer.

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

xyz = xy + z

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