Question

2sin x/4 - =0

Answer 1

$2sin \frac{x}{4}-\sqrt{3}=0;$

$sin \frac{x}{4}=\frac{\sqrt{3}}{2}$

$\frac{x}{4}=(-1)^k*\frac{\pi}{3}+\pi*k$

$x=(-1)^k*\frac{4*\pi}{3}+4*\pi*k$

 

k є Z

Answer 2

To solve the equation 2sin(x/4) = 0, we need to find the values of x that make the expression equal to zero.

First, let's recall the property of sine function: sin(θ) = 0 when θ is an integer multiple of π.

So, we can set up the equation:

x/4 = nπ

Here, n is an integer representing the number of complete cycles of the sine function.

To solve for x, we can multiply both sides by 4:

x = 4nπ

Therefore, the solutions to the equation 2sin(x/4) = 0 are given by x = 4nπ, where n is an integer.