Question

Cos14°sin16°+cos16°sin14°

Answer 1

That is the sin(x+y) form.
x = 14 and y = 16
sin(14+16) = sin(30 degrees) = 0.5
Я Русская

Answer 2

To simplify the expression cos(14°)sin(16°) + cos(16°)sin(14°), you can use the trigonometric identity:

sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

Applying this identity to the given expression:

cos(14°)sin(16°) + cos(16°)sin(14°)

= sin(14° + 16°)

= sin(30°)

Now, since sin(30°) is a well-known value, you can directly substitute it:

sin(30°) = 1/2

Therefore, the simplified value of the expression is 1/2.