Question

Решить: sin(π/6-3х)=0

Answer 1

Ответ:

1   67/90

Пошаговое объяснение:

sin(3,14/6-3x)= 0

синус равен 0 когда угол равен 0

3,14/6-3x = 0 домнажаем уравнение на 6

3,14-18х = 0

х = 3,14/18

х = 314/180

х = 1   67/90

Answer 2

To solve the equation sin(π/6 - 3x) = 0, we can use the property that sin(θ) = 0 when θ is an integer multiple of π (π, 2π, 3π, ...).

Step 1: Find the angle (π/6 - 3x) that satisfies sin(π/6 - 3x) = 0. Step 2: Set π/6 - 3x equal to the angle from Step 1 and solve for x.

Step 1: Since sin(π/6 - 3x) = 0, we know that π/6 - 3x is an integer multiple of π. So,

π/6 - 3x = nπ, where n is an integer.

Step 2: Now, we can solve for x:

3x = π/6 - nπ

x = (1/3)(π/6 - nπ)

x = (1/18)(π - 6nπ)

x = (1/18)(π(1 - 6n))

So the solutions for x are:

x = (1/18)(π(1 - 6n)), where n is any integer.