Question

4 sin x cos x =√2 Дайте ответ

Answer 1

Рада к вам помочь может быть так решиться .............

Answer 2

Equation Solution:

The equation 4sin(x)cos(x) = √2 can be solved using trigonometric identities. We can use the identity sin(2x) = 2sin(x)cos(x) to simplify the equation.

By substituting sin(2x) = 2sin(x)cos(x) into the equation, we get:

4sin(x)cos(x) = 2sin(2x)

Now, we can solve for sin(2x):

sin(2x) = 4sin(x)cos(x) / 2

sin(2x) = 2sin(x)cos(x)

Trigonometric Identity:

The trigonometric identity sin(2x) = 2sin(x)cos(x) is used to simplify the given equation.

Conclusion:

The solution to the equation 4sin(x)cos(x) = √2 is sin(2x) = 2sin(x)cos(x).