Question

-2cosx sinx+cosx=0 Прошу помочь.

Answer 1

Сosx(2Sinx +1) = 0
Cos x =0               или           2Sinx+1 = 0
x = π/2 + πk , k ∈Z                 Sin x = -1/2
                                                x = (-1)^(n+1)*π/6 + πn , n ∈Z

Answer 2

Solving the Equation -2cosx+sinx+cosx=0

To solve the equation -2cosx+sinx+cosx=0, we can use the given information to find the values of x that satisfy the equation. Let's break down the steps to solve this equation based on the provided search results.

1. Using Trigonometric Identities: - We can use trigonometric identities to simplify the equation and find the solutions for x.

2. Trigonometric Identities and Equations: - The search results provide various trigonometric identities and equations that involve sine (sinx) and cosine (cosx) functions. These can be used to simplify the given equation and find the solutions for x.

3. Identifying Solutions: - By analyzing the provided trigonometric equations and identities, we can identify the values of x that satisfy the given equation.

4. Finalizing Solutions: - After applying the trigonometric identities and equations, we can determine the final solutions for the equation -2cosx+sinx+cosx=0 based on the information provided in the search results.

Based on the search results, the solutions for the equation -2cosx+sinx+cosx=0 can be determined using the trigonometric identities and equations provided.