The expression 1 + cos(x) can be explained as follows:

1 + cos(x) is a trigonometric expression, where ‘cos’ stands for the cosine function, and ‘x’ is an angle in radians. The cosine function calculates the ratio of the length of the adjacent side of a right triangle to the length of the hypotenuse.

In the expression 1 + cos(x), you’re adding 1 to the cosine of the angle ‘x.’ This means you are increasing the value of the cosine function by 1. The result will depend on the specific value of ‘x’ you use.

For example, if x = 0 radians, then cos(0) = 1, so 1 + cos(0) = 1 + 1 = 2.

If x = π radians, then cos(π) = -1, so 1 + cos(π) = 1 – 1 = 0.

This expression is commonly encountered in trigonometry and calculus and can have various applications in physics, engineering, and mathematics.