Answer: x = 115.5° Step-by-step explanation: I suppose that we have the equation: 2*cos(x + 40°) = 1/2 for 0° < x < 360° Let’s solve this. First, we isolate the cosine function: cos(x + 40°) = (1/2)/2 = 1/4 cos(x + 40°) = 1/4 Now we can use the Acos(x) function, remember that: Acos(cos(x)) = x cos(Acos(x)) = x Then if we use this function in both sides, we get: Acos( cos(x + 40°)) = Acos(1/4) x + 40° = Acos(1/4) = 75.5° x = 75.5° + 40° = 115.5° x = 115.5° Log in to Reply

Answer:x = 115.5°Step-by-step explanation:I suppose that we have the equation:

2*cos(x + 40°) = 1/2 for 0° < x < 360°

Let’s solve this.

First, we isolate the cosine function:

cos(x + 40°) = (1/2)/2 = 1/4

cos(x + 40°) = 1/4

Now we can use the Acos(x) function, remember that:

Acos(cos(x)) = x

cos(Acos(x)) = x

Then if we use this function in both sides, we get:

Acos( cos(x + 40°)) = Acos(1/4)

x + 40° = Acos(1/4) = 75.5°

x = 75.5° + 40° = 115.5°

x = 115.5°