Question

Вычислите: sin (-120) × cos(-150)​

Answer 1

Решение в приложенном файле.

Answer 2

To calculate sin(-120) × cos(-150), you first need to determine the values of sin(-120) and cos(-150). Remember that sine and cosine functions are periodic, so the trigonometric values repeat after certain intervals.

sin(-120) = -sin(120) cos(-150) = cos(150)

Now, we can find the values of sin(120) and cos(150):

1. sin(120): sin(120) = sin(180 - 120) = sin(60)

The exact value of sin(60) is √3/2.

2. cos(150): cos(150) = cos(180 - 150) = cos(30)

The exact value of cos(30) is √3/2.

Now, plug these values back into the original expression:

sin(-120) × cos(-150) = (-sin(120)) × cos(150) = (-√3/2) × (√3/2) = -3/4

So, sin(-120) × cos(-150) is equal to -3/4.