Sin(3x + 2) = - √3: 2 ctg(П:3 - х) = 1 : √3

Предыдущий
вопрос Следующий
вопрос

To solve the equations:

Since sin(30°) = 1/2 and sin(150°) = -1/2, we know that the angle within the sine function should be equivalent to either 30° or 150°. Therefore, solve for 3x + 2:

3x + 2 = 150°
3x = 150° - 2
3x = 148°
x = 148° / 3
x ≈ 49.33°

or

3x + 2 = 30°
3x = 30° - 2
3x = 28°
x = 28° / 3
x ≈ 9.33°

So, x ≈ 49.33° or x ≈ 9.33°

First, find the value inside the cotangent function:

П:3 - х = 60° - x

Now, find the cotangent of 60°:

ctg(60°) = 1/√3

So, solve for x:

2(1/√3) = 1/√3
x = 60°

Therefore, the solution to the second equation is x = 60°

In conclusion, the solutions to the equations are x ≈ 49.33°, x ≈ 9.33°, and x = 60°.