Question

Ребята,решите пожалуйста тригонометрическое уравнение tg x/4=0 .плиииз!!!

Answer 1

tgx/4=0

x/4=пк

х=4пк

 

111111

Answer 2

Solving the Trigonometric Equation tg(x/4) = 0

To solve the trigonometric equation tg(x/4) = 0, we need to find the values of x that satisfy this equation.

The tangent function (tg) is defined as the ratio of the sine of an angle to the cosine of that angle. In this case, we have tg(x/4) = 0.

To find the values of x that satisfy this equation, we can use the fact that the tangent function is equal to zero when the angle is a multiple of π. In other words, we need to find the values of x for which x/4 is a multiple of π.

Let's solve this equation step by step:

1. Multiply both sides of the equation by 4 to isolate x: tg(x/4) = 0 4 * tg(x/4) = 4 * 0 tg(x/4) = 0

2. Now, we know that tg(x/4) = 0 when x/4 is a multiple of π. So we can write: x/4 = n * π, where n is an integer.

3. Multiply both sides of the equation by 4 to isolate x: x = 4 * n * π

Therefore, the solutions to the equation tg(x/4) = 0 are given by x = 4 * n * π, where n is an integer.

For example, if n = 0, then x = 4 * 0 * π = 0. If n = 1, then x = 4 * 1 * π = 4π. If n = -1, then x = 4 * -1 * π = -4π.

These are just a few examples, and there are infinitely many solutions to this equation.

I hope this helps! Let me know if you have any further questions.