Question

Решить уравнение cos(3x+pi/8)=5/2

Answer 1

Область значений  косинуса:
-1≤cosx≤1
Значит  cos(3x+pi/8) ≠ 5/2 по области значения.

Ответ 
∅ нет решений

Answer 2

To solve the equation cos(3x + π/8) = 5/2, we need to find the values of x that satisfy the equation. However, there seems to be a mistake in the equation, as the value of cos(3x + π/8) cannot be greater than 1 (the maximum value of the cosine function is 1).

The correct range of the cosine function is -1 ≤ cos(θ) ≤ 1, which means that 5/2 is outside the possible range of values for the cosine function.

If you meant to write the equation as cos(3x + π/8) = 2/5, then we can proceed to solve it.

The correct equation: cos(3x + π/8) = 2/5

Step 1: Isolate the cosine term: cos(3x + π/8) = 2/5

Step 2: Take the inverse cosine (arccos) of both sides: 3x + π/8 = arccos(2/5)

Step 3: Solve for x: 3x = arccos(2/5) - π/8

Step 4: Divide by 3: x = (arccos(2/5) - π/8) / 3

Now, you can use a calculator to find the approximate value of x. Keep in mind that the angle returned by the arccos function is in radians.