What are the six differentiation rules for trigonometric functions?
The differentiation formulas of the six trigonometric functions are listed below:
- Derivation of sin x: (sin x)’ = cos x.
- Derivative of cos x: (cos x)’ = -sin x.
- Derivative of tan x: (tan x)’ = sec2 x.
- Derivative of cot x: (cot x)’ = -cosec2 x.
- Derivative of sec x: (sec x)’ = sec x.
What are the 3 additional trigonometry functions?
Other Trigonometric Functions: Cotangent, Secant & Cosecant.
Who is a father of trigonometry?
Hipparchus of Nicaea
Hipparchus of Nicaea (190-120 B.C) a Greek astronomer, mathematician and geographer. He is considered to be “the father of trigonometry”.
Is trigonometric equations important for JEE mains?
This is going to be a short post because Trigonometry is quite a small portion. However, it is fundamental to the rest of mathematics, and you must be good in trigonometry before moving towards other chapters.
Why is sine opposite over hypotenuse?
The sine is always the measure of the opposite side divided by the measure of the hypotenuse. Because the hypotenuse is always the longest side, the number on the bottom of the ratio will always be larger than that on the top.
How to find the derivative of a trigonometric function?
Differentiation of Trigonometric Functions. It is possible to find the derivative of trigonometric functions. Here is a list of the derivatives that you need to know: d (sin x) = cos x. dx. d (cos x) = –sin x. dx.
What is an example of differentiation in math?
Example. Differentiate cos³x with respect to x. Let y = cos³x. Let u = cos x. therefore y = u³. dy = 3u². du. du = -sin x. dx.
What is the derivative of sin x in the range?
Consider the graph of in the range . We draw tangents to the sin curve at the points where radians. We now plot the values of the gradients of these tangents and we obtain a graph of cos (x). As shown in Fig 2. Hence, this shows that derivative of sin (x) is cos (x).