Question

Вычислите tg 520°=?arccos 1/2=?​

Answer 1

Ответ:

Пошаговое объяснение:

1)tg520°

tan(160°)=-0.36

2)arccos ½

π/3=60°=1.04

Answer 2

To calculate the value of tangent of 520 degrees, we need to first convert the angle to a standard range (between 0 and 360 degrees) since the tangent function has a periodicity of 180 degrees. We can do this by subtracting the largest possible full circles (360 degrees) until we get an angle within the range of 0 to 360 degrees.

520 degrees - 360 degrees = 160 degrees

Now, the angle is within the range of 0 to 360 degrees. To calculate the tangent, we can use the following trigonometric identity:

tan(x) = sin(x) / cos(x)

Now, let's find the values of sine and cosine for 160 degrees:

sin(160 degrees) ≈ 0.3420 cos(160 degrees) ≈ -0.9397

Now we can calculate the tangent:

tg(520 degrees) ≈ sin(160 degrees) / cos(160 degrees) ≈ 0.3420 / -0.9397 ≈ -0.3638

So, tg 520° ≈ -0.3638.

Next, let's find the value of arccosine (inverse cosine) of 1/2. This is the angle whose cosine is 1/2. Using a calculator or trigonometric table, we find that:

arccos(1/2) ≈ 60 degrees

So, arccos 1/2 ≈ 60°.