Find the value of the following expression.
$5 (sin^4θ+ cos^4 θ)+3(sin^6θ+ cos^6 θ) + 19sin^2θcos^2θ$
Answer & explanation
Correct answer: option 1
$5 (sin^4θ+ cos^4 θ)+3(sin^6θ+ cos^6 θ) + 19sin^2θcos^2θ$
Putting θ = 90°
Thus, $5 (sin^490°+ cos^4 90°)+3(sin^690°+ cos^6 90°) + 19sin^290°cos^290°$
= 5 + 3 = 8