Question

sin квадрат x - sin x=0, помогите решить пожалуйста.

Answer 1

Sin^2x-sinx=0sinx(sinx-1)=0
sinx=0                   или         sinx-1=0
x=Пк                                     sinx=1
                                           x=п/2+2пк

Answer 2

Solving the Equation sin^2(x) - sin(x) = 0

To solve the equation sin^2(x) - sin(x) = 0, we can factor out sin(x) from the equation and set each factor equal to 0. This will give us the values of x for which the equation is satisfied.

Step 1: Factorizing the Equation The equation sin^2(x) - sin(x) = 0 can be factorized as sin(x)(sin(x) - 1) = 0.

Step 2: Setting Each Factor Equal to 0 Setting sin(x) = 0 gives us the solution sin(x) = 0, and setting sin(x) - 1 = 0 gives us the solution sin(x) = 1.

Step 3: Finding the Solutions We can now solve for x using the solutions obtained in Step 2.

The solutions for sin(x) = 0 are x = nπ, where n is an integer.

The solutions for sin(x) = 1 are x = π/2 + 2nπ, where n is an integer.

Therefore, the solutions for the equation sin^2(x) - sin(x) = 0 are x = nπ and x = π/2 + 2nπ, where n is an integer.

(#1)