Question

2*cos30-корень3cos60*tg45

Answer 1

Решение на фото
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Answer 2

Let's simplify the expression step by step:

1. Recall the values of trigonometric functions for some common angles:

   • cos(30°) = √3/2
   • cos(60°) = 1/2
   • tan(45°) = 1

2. Substitute the values into the expression:

   2cos(30°) - √3cos(60°)*tan(45°)

3. Calculate each term:

   2 * (√3/2) - (√3/2) * (1/2) * 1

   Now, let's solve it:

   2 * (√3/2) = √3

   (√3/2) * (1/2) = √3/4

   Therefore, the expression simplifies to:

   √3 - √3/4

4. Combine the terms with the same radical:

   √3 - √3/4 = (4√3 - √3) / 4 = (3√3) / 4

So, the simplified form of the expression is (3√3) / 4.