Question

Sin(2x-x/3)=0 помогите решить

Answer 1

Если Х это число π (пи), тогда sin (2х-х/3) 0 ;sin (2 π- π/3) =0 ;sin π/3 = sin 60 гадусов; sin 60 гр= √3/2

Answer 2

Solving the Equation Sin(2x-x/3)=0

To solve the equation sin(2x-x/3)=0, we can use trigonometric identities and properties to simplify and find the solutions.

First, let's rewrite the equation using the angle addition identity for sine: sin(A - B) = sin(A)cos(B) - cos(A)sin(B).

So, sin(2x-x/3) = sin(2x)cos(x/3) - cos(2x)sin(x/3).

Now, we can proceed with solving the equation step by step.

1. sin(2x)cos(x/3) - cos(2x)sin(x/3) = 0.

To find the solutions, we can use the trigonometric identity sin(A)cos(B) - cos(A)sin(B) = sin(A-B).

So, the equation becomes sin(2x - x/3) = 0.

2. Now, we need to find the values of x that satisfy sin(2x - x/3) = 0.

Let's find the solutions based on the trigonometric properties and identities.

The solutions for x that satisfy the equation sin(2x - x/3) = 0 are: - x = 0. - x = π/2 + kπ where k is an integer.

These are the solutions for the given equation sin(2x-x/3)=0.