Question

Cos(3x-п/4)=0,7

Answer 1

Решение задания смотри на фотографии

Answer 2

To solve the equation cos(3x - π/4) = 0.7, we need to isolate x.

The first step is to take the inverse cosine (arccos) of both sides to cancel out the cosine function:

arccos(cos(3x - π/4)) = arccos(0.7)

The inverse cosine and cosine functions cancel out, leaving us with:

3x - π/4 = arccos(0.7)

Now, we need to find the value of arccos(0.7) using a calculator. It's approximately 0.7959 radians.

Next, solve for x:

3x = π/4 + 0.7959

x = (π/4 + 0.7959) / 3

Now, calculate the numerical value of x:

x ≈ (π/4 + 0.7959) / 3 ≈ (0.7854 + 0.7959) / 3 ≈ 0.5271

So, the approximate value of x that satisfies the equation cos(3x - π/4) = 0.7 is x ≈ 0.5271 radians.