Cos x = 2/5 what is x

The answer to your question is x = 66.42° and x = 293.6°

Step-by-step explanation:

Data

cos x = 2/5

x = ?

Process

1. - Look at the sign of 2/5.

2/5 is positive so the angle we are looking for is in the first or the fourth quadrant.

2. - Remember the side that the trigonometric function relates

cos x = Adjacent side / hypotenuse

then, adjacent side = 2

hypotenuse = 5

3. - Get cos⁻¹ x

cos⁻¹x = x = 66.42°

4. - If the angle is in the first quadrant x = 66.42°

5. - If the angle is in the fourth quadrant x = 293.6°