Question

Cos28°×cos16°- sin28°×sin16°

Answer 1

Cos28°Cos16° - Sin28°Sin16° = Cos(28° + 16°) = Cos44°

Answer 2

To simplify the expression cos(28°) × cos(16°) - sin(28°) × sin(16°), we can use the trigonometric identity for the difference of two angles:

cos(a - b) = cos(a) × cos(b) + sin(a) × sin(b)

Using this identity, the expression can be rewritten as:

cos(28° - 16°)

Now, subtracting the angles:

cos(12°)

So, the simplified value of the expression is cos(12°).