Sin 44° . Sin 14° + Cos 44° . Cos 14°

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First, let's find the values of sin(44°) and cos(44°) using a calculator:

sin(44°) ≈ 0.7193
cos(44°) ≈ 0.6947

Next, let's find the values of sin(14°) and cos(14°) using a calculator:

sin(14°) ≈ 0.2419
cos(14°) ≈ 0.9703

Now, we can substitute these values into the equation:

sin(44°) . sin(14°) + cos(44°) . cos(14°)
≈ 0.7193 0.2419 + 0.6947 0.9703
≈ 0.1739 + 0.6743
≈ 0.8482

Therefore, sin(44°) . sin(14°) + cos(44°) . cos(14°) is approximately 0.8482.