Question

2√3(tg 30°- cos 30°)=​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

To simplify the expression 2√3(tan 30° - cos 30°), you can start by using the values of tangent and cosine of 30 degrees:

tan 30° = √3/3 cos 30° = √3/2

Now, substitute these values into the expression:

2√3(√3/3 - √3/2)

Next, find a common denominator for the fractions inside the parentheses:

2√3(2√3/6 - 3√3/6)

Now, subtract the fractions inside the parentheses:

2√3(-√3/6)

Finally, multiply the constant (2√3) by the fraction:

-2√3 * √3/6

Now, simplify the expression by multiplying the constants and the radicals:

-2√3 * √3/6 = -2√(3 * 3)/6 = -2√9/6

Since √9 is 3:

-2 * 3/6 = -6/6

Now, simplify the fraction by dividing both the numerator and denominator by 6:

-6/6 = -1

So, 2√3(tan 30° - cos 30°) simplifies to -1.