Q.Evaluate: $\sin30°\cos60° + \cos30°\sin60°$.

This is a direct substitution of four standard-angle values into the given expression, then simple fraction arithmetic.

$\sin30°\cos60°+\cos30°\sin60° = \left(\frac12\right)\left(\frac12\right)+\left(\frac{\sqrt3}{2}\right)\left(\frac{\sqrt3}{2}\right) = \frac14+\frac34 = 1$

Step 1 — read the four values off the standard-angle table. $\sin30°=\frac12,\ \cos60°=\frac12,\ \cos30°=\frac{\sqrt3}{2},\ \sin60°=\frac{\sqrt3}{2}$.

Step 2 — substitute.

Step 3 — simplify.

The two products here are exactly the terms of the sine-addition pattern for $30°+60°=90°$, so the result also equals $\sin90°=1$ — a useful cross-check, though the direct-substitution method above is sufficient on its own within this chapter's scope.

A common slip is reading $\cos60°$ as $\frac{\sqrt3}{2}$ (the $\sin60°$/$\cos30°$ value) instead of $\frac12$ — always re-check each value against the standard-angle table rather than relying on memory alone.