Mastering The Relationship Between Trigonometric Functions: Derivative Of Sin(X) And Cos(X)

What is the derivative of sin(x)?

cos(x)

The derivative of sin(x) is cos(x).

In other words, if you take the derivative of sin(x), you get cos(x). This can be represented using the notation:

d/dx sin(x) = cos(x)

The inverse of this relationship is also true: the derivative of cos(x) is -sin(x). This can be represented as:

d/dx cos(x) = -sin(x)

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