Question

A) 2cos 60°+ корень 3cos 30

Answer 1

a)

$2 \times \cos(60) + \sqrt{3} \times \cos(30) = 2 \times \frac{ \sqrt{2} }{2} + \sqrt{3} \times \frac{ \sqrt{3} }{2} = \sqrt{2} + \frac{3}{2} = \frac{2 \sqrt{2} + 3 }{2}$

Answer 2

To simplify the expression 2cos 60° + √3cos 30°, we can use the values of cosine for those angles:

cos 60° = 1/2 cos 30° = √3/2

Substituting these values into the expression, we have:

2cos 60° + √3cos 30° = 2(1/2) + √3(√3/2)

Simplifying further:

2cos 60° + √3cos 30° = 1 + 3/2 = 1 + 1.5 = 2.5

Therefore, 2cos 60° + √3cos 30° simplifies to 2.5.