Question

Вычислить : sin(arctg(-3))

Answer 1

Ответ:

Объяснение:

Используя sin(arctg (x)) = $\frac{x}{\sqrt{(1+x^{2})} }$, преобразовать выражение в $\frac{-3}{\sqrt{1+(-3)^{2} } }$ = $-\frac{3}{\sqrt{1+9} }$ = $-\frac{3}{\sqrt{10}}$ = $-\frac{3\sqrt{10} }{10}$

Answer 2

Ответ:

$\sin (arctg (-3))=\frac{-3}{\sqrt{1^2+(-3)^2}}=\frac{-3}{\sqrt{10}}=\frac{-3\sqrt{10}}{10}$

Объяснение:

Answer 3

To calculate the value of the expression "sin(arctg(-3))," follow these steps:

Step 1: Find the arctangent of -3 arctg(-3) is the same as finding the angle whose tangent is -3. In other words: arctg(-3) = atan(-3)

Step 2: Calculate the sine of the angle found in Step 1 sin(arctg(-3)) = sin(atan(-3))

To evaluate this expression, you'll need to use a calculator or a math tool since the value is not easily expressible in a simple form. Let's find the approximate value using a calculator:

sin(atan(-3)) ≈ -0.1425

So, sin(arctg(-3)) ≈ -0.1425.