Find the value of the following expression. $5 (sin^4θ+ cos^4 θ)+3(sin^6θ+ cos^6 θ) + 19sin^2θcos^2θ$

8 5 6 7

8

$5 (sin^4θ+ cos^4 θ)+3(sin^6θ+ cos^6 θ) + 19sin^2θcos^2θ$ Putting θ = 90° Thus, $5 (sin^490°+ cos^4 90°)+3(sin^690°+ cos^6 90°) + 19sin^290°cos^290°$ = 5 + 3 = 8