2sin^2A +cos^4A =1+sin^4A

1.	2sin^2A +cos^4A =1+sin^4A
Answer» $\huge{\underline{\underline{\red{♡Solution→}}}}$ $2 {sin}^{2} a + {cos}^{4} a = 1 + {sin}^{4} a$ $\bold{\huge{\underline{\underline{\rm{ LHS :}}}}}$ $= 2 {sin}^{2} a + {cos}^{4} a$ $= 2 {sin}^{2} a + ( { {cos}^{2} a)}^{2}$ We KNOW that → ${cos}^{2} a = 1 - {sin}^{2} a$ $= 2 {sin}^{2} a + ( {1 - {sin}^{2}a) }^{2} \\ = 2 {sin}^{2} a + 1 + {sin}^{4} a - 2 {sin}^{2} a$ $= 1 + {sin}^{4} a$ $\bold{\huge{\underline{\underline{\rm{ RHS ↑}}}}}$ *MARK as BRAINLIEST !! ✨✨*

Answer»

$\huge{\underline{\underline{\red{♡Solution→}}}}$