Question

Cos(5pi-4x) =- корень 3/2

Answer 1

$></p> <p></p> <p></p> </div> <div class=$ 0 0

Answer 2

На фотографии подробно.

Answer 3

To solve the equation cos(5π - 4x) = -√3/2, we can start by finding the reference angle of -√3/2.

The reference angle for -√3/2 is π/6. This is because the cosine function is negative in the second and third quadrants, and the cosine value of π/6 is √3/2.

Now, we can solve for 5π - 4x = π/6 and 5π - 4x = 5π/6.

1. Solving for 5π - 4x = π/6: Subtract π/6 from both sides: 5π - 4x - π/6 = 0 Multiply both sides by 6 to eliminate the fraction: 30π - 24x - π = 0 Combine like terms: 29π - 24x = 0 Divide both sides by 29: -24x = -29π/29 x = π/24

2. Solving for 5π - 4x = 5π/6: Subtract 5π/6 from both sides: 5π - 4x - 5π/6 = 0 Multiply both sides by 6 to eliminate the fraction: 30π - 24x - 5π = 0 Combine like terms: 25π - 24x = 0 Divide both sides by 25: -24x = -25π/25 x = π/24

Therefore, the solutions to the equation cos(5π - 4x) = -√3/2 are x = π/24.