d dx (cos x°) is equal to

The derivative of the cosine function with respect to x is a fundamental concept in calculus. When you differentiate cos(x), the result is:

Derivative of Cosine

For any angle x measured in degrees, the derivative can be expressed as:

Formula

The derivative is given by:

In Degrees

When x is in degrees, the derivative remains the same in form, but keep in mind that the sine function will also be evaluated in degrees:

• If x = 0°, then -sin(0°) = 0
• If x = 90°, then -sin(90°) = -1
• If x = 180°, then -sin(180°) = 0

Thus, the derivative of cos(x°) is always -sin(x°), regardless of the angle's measurement in degrees or radians.