Question

2cos60*tg45-sin60cos30​

Answer 1

Ответ:

1/4

Пошаговое объяснение:

Табличные значения:

cos60 = 1/2

tg45 = 1

sin60 = √3/2

cos30 = √3/2

Подставляем в выражение:

2*1/2*1 - √3/2 * √3/2 = 1 - 3/4 = 1/4

Answer 2

To simplify the expression 2cos(60°) * tan(45°) - sin(60°) * cos(30°), you can use the values of the trigonometric functions for these angles:

1. cos(60°) = 1/2
2. tan(45°) = 1
3. sin(60°) = √3/2
4. cos(30°) = √3/2

Now, substitute these values into the expression:

2(1/2) * 1 - (√3/2) * (√3/2)

Now, simplify each part of the expression:

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

So, the simplified expression is:

1 - 3/4

Now, subtract 3/4 from 1:

1 - 3/4 = 4/4 - 3/4 = 1/4

So, the final simplified value of the expression is 1/4.