Question

-4 корень из 3 sin (-780)

Answer 1

$( - 4) \sqrt3{ \sin(780) }$

6

Answer 2

To evaluate the expression, let's break it down step by step:

1. Start with -4.
2. Take the square root of 3: √3 ≈ 1.732.
3. Find the sine of -780 degrees. Keep in mind that sine is a periodic function with a period of 360 degrees (or 2π radians). So, we can find the equivalent angle within one full period as follows: -780 degrees = -780° + 360° (one full revolution) = -420° Now, -420° is in the fourth quadrant, and the sine function is negative in the fourth quadrant. Since the sine of 420 degrees is the same as the sine of -420 degrees, we can calculate the sine of 420 degrees instead. sin(420°) ≈ -0.871.

Now, let's combine all the steps:

-4 * √3 * sin(-780°) ≈ -4 * 1.732 * -0.871 ≈ 6.001.

So, the approximate value of the expression is 6.001.