Respuesta :

Answer:

x = 30 degrees

Step-by-step explanation:

cos (x) = sqrt(3)/2

We need to take the inverse of each side

cos ^-1( cos x) = cos ^-1 (sqrt(3)/2)

x = cos ^-1 (sqrt(3)/2)

x = 30 degrees

Answer:

30°

Step-by-step explanation:

I don't know what you've been taught, but I'll explain how I did it.

Upon looking at this, I thought, "at what angles is cosine √3/2?" Using a unit circle in my head, I thought of π/6 and 11π/6 (which are in radians, in degrees they are respectively 30° and 330°). Since x is acute (less than 90°), the answer must be 30° since that is the only one of the two that is acute.