Question

Найдите значение выражения sin(π-arcsin*3/7)

Answer 1

$\sin(\pi - 0.44291106) \\ 0.4257143$

Answer 2

To find the value of the expression sin(π - arcsin(3/7)), we can use the properties of trigonometric functions.

First, let's find the value of arcsin(3/7). This function gives us the angle whose sine is equal to 3/7. Let's call this angle θ:

arcsin(3/7) = θ

Now, we need to find sin(π - θ). Using the identity sin(π - θ) = sin(θ), we get:

sin(π - arcsin(3/7)) = sin(θ)

So, to find sin(θ), we need to find the sine of the angle whose arcsin is 3/7.

Now, let's use the right triangle trigonometry. Consider a right triangle with one angle θ and sides opposite, adjacent, and hypotenuse.

sin(θ) = opposite / hypotenuse

We know that arcsin(3/7) = θ, which means that sin(θ) = 3/7.

So, the value of the expression is:

sin(π - arcsin(3/7)) = sin(θ) = 3/7

Therefore, the value of the expression sin(π - arcsin(3/7)) is 3/7.