Question

Sinx = \frac{1}{4} ​

Answer 1

Ответ:

$x=(-1)^n*\arcsin\frac{1}{4}+\pi n, \ n \in Z$

Объяснение:

Если угол не табличный, просто пользуемся формулой

$\sin x=a, \ -1\leq a\leq 1 \\x=(-1)^n*\arcsin a+\pi n, \ n \in Z$

Answer 2

To solve the equation sin(x) = 1/4, we need to find the values of x that satisfy this equation.

One way to find the solution is by using the inverse sine function (also known as arcsine or sin^(-1)). We can write the equation as:

x = arcsin(1/4)

To find the value of x, we can use a calculator or a mathematical software that provides the arcsine function. Evaluating this expression, we get:

x ≈ 14.47 degrees + 360n, for any integer n

This means that the solutions to the equation sin(x) = 1/4 are given by x ≈ 14.47 degrees plus any integer multiple of 360 degrees.