Question

2sinx/2*cosx/2=Sqrt(2) не могу понять выходит решения нет или я все-таки ошибаюсь? помогите?)

Answer 1

формула двойного угла
sin x =  Sqrt(2)

Answer 2

sin x =  Sqrt(2)

все просто)

Answer 3

Solving the Equation: 2sin(x/2) * cos(x/2) = √2

To solve the equation 2sin(x/2) * cos(x/2) = √2, we can use trigonometric identities and algebraic manipulation. Let's break down the steps:

Step 1: Simplify the equation using trigonometric identities. - We can use the double-angle identity for sine: sin(2θ) = 2sin(θ)cos(θ). - Applying this identity, we can rewrite the equation as: sin(x) = √2.

Step 2: Solve for x. - To find the values of x that satisfy the equation sin(x) = √2, we need to find the angles whose sine is equal to √2. - However, the sine function only takes values between -1 and 1, so there are no real solutions for x that satisfy sin(x) = √2.

Therefore, there are no real solutions for the equation 2sin(x/2) * cos(x/2) = √2.

I hope this clarifies the situation for you. If you have any further questions, please let me know!