Question

Sin 45 * cos 15 - cos 45 * sin 15

Answer 1

Ответ:

1/2

Объяснение:

Sin 45° * cos 15° - cos 45° * sin 15° = sin (45°-15°) = sin 30° = 1/2

Answer 2

To evaluate the expression sin(45) * cos(15) - cos(45) * sin(15), we can use the trigonometric identities for the sine and cosine of the sum or difference of angles:

sin(A - B) = sin(A) * cos(B) - cos(A) * sin(B)

Using this identity, we can rewrite the expression as:

sin(45 - 15)

Now we can evaluate sin(30) using a known value:

sin(30) = 0.5

Therefore, the expression simplifies to:

0.5