Question

pls help me to solve this one​

Answer 1

$\text{Use}\\</p><p>\sin^2 A- \sin^2B=\sin(A-B)\sin (A+B)\\</p><p>Thus,\\</p><p>\sin^2 24- \sin^2 6=\sin 30 \sin 18\\</p><p>= \frac{1}{2} \times \frac{\sqrt{5}-1}{4}\\</p><p>=\frac{\sqrt{5}-1}{8}$