Explanation

The stem gives sin(alpha)/sin(beta)=4*sqrt(2)/3 and cos(alpha)/cos(beta)=2*sqrt(3)/9 but the requested expression could not be recovered (options 8, 6, 4, 3). (From the ratios, sin^2(beta)=1/4 and cos^2(alpha)=1/9 follow, but the target quantity is unknown.) The stored key A (8) agrees with the published coaching key (PW, CDS 2 2025 Set A). Note: key disputed - independent verification inconclusive.