Question

Sin 225°cos 120°ig330°crg 240°​

Answer 1

Ответ:

-√2/2•(-1/2)•(-√3/3)•√3/3=√17/36=3√2/36=√2/12

Answer 2

It seems like you want to find the value of the expression:

sin(225°) * cos(120°) + cos(330°) - sin(240°)

Let's break it down step by step:

1. sin(225°) is the sine of 225 degrees. The sine function is negative in the third quadrant (180° to 270°), and the sine of 225 degrees is -√2/2.

2. cos(120°) is the cosine of 120 degrees. The cosine function is negative in the second quadrant (90° to 180°), and the cosine of 120 degrees is -1/2.

3. cos(330°) is the cosine of 330 degrees. The cosine function is positive in the fourth quadrant (270° to 360°), and the cosine of 330 degrees is √3/2.

4. sin(240°) is the sine of 240 degrees. The sine function is negative in the third quadrant (180° to 270°), and the sine of 240 degrees is -1/2.

Now, let's plug these values back into the expression:

(-√2/2) * (-1/2) + (√3/2) - (-1/2)

Now, let's calculate each part:

1. (-√2/2) * (-1/2) = (√2/4)
2. (√3/2)
3. -(-1/2) = 1/2

Now, let's add these values together:

(√2/4) + (√3/2) + 1/2

To simplify further, you can find a common denominator:

(√2/4) + (2√3/4) + 2/4

Now, add the fractions:

(√2 + 2√3 + 2) / 4

So, the value of the expression is:

(√2 + 2√3 + 2) / 4