Question

Sin(3x+π/4)=0 как решить?

Answer 1

Sin(3x+π/4)=0
3x+π/4=πn   3x=πn-π/4
x=πn/3-π/12   n∈Z

Answer 2

To solve the equation sin(3x + π/4) = 0, we need to find the values of x that satisfy the equation.

Step 1: Identify the general solution for sin(theta) = 0: The sine function is equal to zero at specific angles. The general solution for sin(theta) = 0 is: θ = nπ, where n is an integer.

Step 2: Apply the general solution to the given equation: We have sin(3x + π/4) = 0. So, we set the argument (3x + π/4) equal to nπ:

3x + π/4 = nπ

Step 3: Solve for x: To solve for x, isolate it on one side of the equation:

3x = nπ - π/4

Now, divide both sides by 3:

x = (nπ - π/4) / 3

So, the solution for x is given by:

x = (nπ - π/4) / 3

Where n is an integer. Each value of n will give a different solution for x. You can plug in different integer values for n to get a set of solutions for the equation.