sin3x+2sin3x cos2x-sinx=0

Предыдущий
вопрос Следующий
вопрос

To solve this trigonometric equation, we can first simplify the expression by applying trigonometric identities.

Given equation: sin(3x) + 2sin(3x) cos(2x) - sin(x) = 0

We can use the following trigonometric identities to simplify the expression:

Substitute these identities into the original equation:
3sin(x) - 4sin^3(x) + 2(3sin(x) - 4sin^3(x))(1 - 2sin^2(x)) - sin(x) = 0

Simplify further:
3sin(x) - 4sin^3(x) + 6sin(x) - 24sin^3(x) - 12sin^2(x)sin(x) + 32sin^5(x) - sin(x) = 0

Combine like terms:
3sin(x) + 6sin(x) - sin(x) - 4sin^3(x) - 24sin^3(x) - 12sin^2(x)sin(x) + 32sin^5(x) = 0

15sin(x) - 28sin^3(x) - 12sin^2(x)sin(x) + 32sin^5(x) = 0

This equation can then be solved using techniques such as factoring, using trigonometric identities, or numerical methods to find the values of x that satisfy the equation.