Question

Как решить? sin t = -пи/3

Answer 1

Так как sin (x) ∈ [ -1,1], уравнение не имеет решений t ∉R

Answer 2

Задание
Как решить?
sin t = -пи/3

Решение
sin t= - $\pi$/3
t∈{-1;1}
$- \pi /3$ Больше -1
то ⇒ что уравнение не имеет решений

Answer 3

Solving sin(t) = -π/3

To solve the equation sin(t) = -π/3, we can use the inverse sine function (also known as arcsine or sin^(-1)). The inverse sine function returns the angle whose sine is the specified number.

The solution can be found using the following steps:

1. First, we need to find the principal value of the inverse sine of -π/3. 2. Then, we can find the general solution by adding multiples of 2π to the principal value.

Let's calculate the principal value of the inverse sine of -π/3 and then find the general solution.

The principal value of the inverse sine of -π/3 is denoted as sin^(-1)(-π/3).

The general solution for the equation sin(t) = -π/3 is given by t = sin^(-1)(-π/3) + 2nπ, where n is an integer.

Let's calculate the principal value of the inverse sine of -π/3 and then find the general solution.

The principal value of the inverse sine of -π/3 is approximately -1.5708 radians.

Therefore, the general solution for the equation sin(t) = -π/3 is t = -1.5708 + 2nπ, where n is an integer.

This provides the general solution for the given equation.