Math.Info » Pre-Calculus/Calculus » List of Derivatives of Trig & Inverse Trig Functions

In this section we expand our knowledge of derivative formulas to include derivatives of these and other trigonometric functions. We begin with the derivatives of the sine and cosine functions …

Nov 16, 2022 · In this section we will discuss differentiating trig functions. Derivatives of all six trig functions are given and we show the derivation of the derivative of sin (x) and tan (x).

Feb 24, 2025 · What are the derivatives of the six basic trigonometric functions. Learn how to find their differentiations with formulas, proofs, and examples.

The three most useful derivatives in trigonometry are ... ddx sin (x) = cos (x) ... ddx cos (x) = sin (x) ... ddx tan (x) = sec2 (x)

Now, that we have the differentiation of trigonometric functions (sin x, cos x, tan x, cot x, sec x, cosec x), we will prove and derive the trig derivatives using various methods such as the …

For example, the derivative of the sine function is written sin ′ (a) = cos (a), meaning that the rate of change of sin (x) at a particular angle x = a is given by the cosine of that angle.

Nov 1, 2025 · Derivatives of the trigonometric functions are first calculated through the limit definition. Before calculating these derivatives and looking at their proofs, it is necessary to …

To compute the derivatives of these functions, we start with sin x and cos x. The derivatives of the other trigonometric functions will follow from these two using the quotient rule.

We can get the derivatives of the other four trig functions by applying the quotient rule to sine and cosine.