First, let's find the values of sin(44°) and cos(44°) using a calculator:
sin(44°) ≈ 0.7193cos(44°) ≈ 0.6947
Next, let's find the values of sin(14°) and cos(14°) using a calculator:
sin(14°) ≈ 0.2419cos(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.
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.