Question

Sqrt(3) + 2cos2x = ?

Answer 1

Ответ:

2cos2x=

3

cos2x=

2

3

2x=±

6

π

+2πn, n∈Z

x=±

12

π

+πn, n∈Z

Answer 2

To simplify the expression √3 + 2cos(2x), you can use the trigonometric identity for double angle cos(2x):

cos(2x) = 2cos^2(x) - 1

Now, substitute this identity into your expression:

√3 + 2(2cos^2(x) - 1)

Now distribute the 2:

√3 + 4cos^2(x) - 2

So, √3 + 2cos(2x) simplifies to:

4cos^2(x) - 2 + √3