Question

please answer the question correctly and explain it please ​

Answer 1

Answer:

plzzz give me brainliest ans and plzzzz follow me

Answer 2

$\huge\mathfrak\red{Answer}$

${sin}^{2} x + {sin}^{2} y = 1 \\ \\ {sin}^{2} x = 1 - {sin}^{2} y \\ \\ {sin}^{2} x = {cos}^{2} y \\ \\ sinx = cosy \\ \\ there \: is \: lot \: of \: value \: satisfying \: it \\ \\ x = y = \frac{\pi}{4} = 45 \\ \\ value \: of \: \sin( \frac{x + y}{2} ) \\ \\ \sin( \frac{45 + 45}{2} ) = \sin( \frac{90}{2} ) \\ sin45 = \frac{1}{ \sqrt{2} } \\ \\ value \: of \: \cos( \frac{x + y}{2} ) \\ \\ cos( \frac{45 + 45}{2} ) = \cos( \frac{90}{2} ) \\ \\ \cos45 = \frac{1}{ \sqrt{2} } \\ \\ value \: of \: \cos( \frac{x + y}{2} ) + \sin( \frac{x + y}{2} ) \\ \\ \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } = \frac{2}{ \sqrt{2} } = \sqrt{2}$