Question

Обчислити 2 sin 60°+ √3 cos 120°

Answer 1

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Answer 2

To calculate the expression 2sin(60°) + √3cos(120°), we'll use the trigonometric values for these angles:

sin(60°) = √3/2 cos(120°) = -1/2

Now, we can substitute these values into the expression:

2sin(60°) + √3cos(120°) = 2 * (√3/2) + √3 * (-1/2)

Next, simplify the expression:

= √3 + (-√3/2)

Now, we combine like terms:

= √3/2 - √3/2

Finally, the result is:

= 0

Therefore, 2sin(60°) + √3cos(120°) equals 0.