Question

Это 4синус240+2косинус(-225) пожалуйста

Answer 1

$4sin240+2cos(-225)$
$sin240=sin(180+60) = -sin60$
$cos(-225)=cos225 = cos(180+45) = -cos45$
$-4sin60-2cos45 = -4* \frac{ \sqrt{3} }{2} -2* \frac{ \sqrt{2} }{2} = -2 \sqrt{3} - \sqrt{2}$

*использованы формулы приведения

Answer 2

Calculation of 4sin(240) + 2cos(-225)

To calculate the value of 4sin(240) + 2cos(-225), we can use trigonometric identities and the given angles to find the values of sine and cosine for the respective angles.

Using the trigonometric identities: - sin(-x) = -sin(x) - cos(-x) = cos(x)

We can rewrite the expression as: 4sin(240) + 2cos(-225) = 4sin(-120) + 2cos(225)

Now, we can use the trigonometric values for the angles 120 and 225 to calculate the expression.

Calculation Steps:

1. Calculate sin(-120) and cos(225). 2. Multiply the results by 4 and 2 respectively. 3. Add the products together to get the final result.

Calculation:

1. sin(-120) = -sin(120) = -√3/2 2. cos(225) = cos(225) = -√2/2

Now, we can substitute these values into the expression: 4sin(240) + 2cos(-225) = 4*(-√3/2) + 2*(-√2/2)

Solving the expression: 4*(-√3/2) + 2*(-√2/2) = -2√3 + (-√2)

So, 4sin(240) + 2cos(-225) = -2√3 - √2.

This calculation is based on trigonometric identities and the given angles, as per the provided search results.