Question

Sin 14° cos 31° + cos 14° sin 31

Answer 1

Відповідь:

√2/2

Пояснення:

Дано:α=14°   β=31°    sin14°*cos31°+cos14°*sin31°=sin(14°+31°)=sin45°=√2/2

Answer 2

The expression you've provided appears to be a trigonometric identity involving the sine and cosine functions. It seems like you want to calculate the value of the expression:

Sin(14°) * Cos(31°) + Cos(14°) * Sin(31°)

In trigonometry, this expression is known as the sine of the sum of two angles (in this case, 14° and 31°). The formula for the sine of the sum of two angles is:

Sin(A + B) = Sin(A) * Cos(B) + Cos(A) * Sin(B)

In your case:

A = 14° B = 31°

So, you can apply this formula to your expression:

Sin(14° + 31°) = Sin(45°)

Now, you can simplify this further:

Sin(45°) = 1/√2

So, the value of the expression Sin(14°) * Cos(31°) + Cos(14°) * Sin(31°) is 1/√2.