Question

Sin5x=1/2 (тригонометрия)

Answer 1

Ответ:

решение на фото

Пошаговое объяснение:

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Answer 2

It looks like you've got an equation involving trigonometry! To solve for x in the equation $\sin(5x) = \frac{1}{2}$, you can use inverse trigonometric functions.

The general idea is to find the values of $x$ that satisfy the equation. In this case, since $\sin^{-1}\left(\frac{1}{2}\right) = \frac{\pi}{6}$, you can set $5x$ equal to $\frac{\pi}{6}$ and solve for $x$:

$5x = \frac{\pi}{6}$

$x = \frac{\pi}{30}$

But this is not the only solution. Since the sine function has a periodic behavior, you can find additional solutions by adding integer multiples of the period.

So, $x = \frac{\pi}{30} + \frac{2\pi n}{5}$, where $n$ is an integer.

This gives you the general form for all solutions to the equation.