Quick Answer: What Is The Derivative Of Cscx?

What is the integral of Cscx?

The derivative of ln |x| = 1/x.

The derivative of cscx is -cscx cotx.

Therefore, the integral of cscx is -ln |cscx + cotx| + C..

What is the derivative of SEC 2x?

We know the derivative of g(x) = sec x is g'(x) = secx tanx, so we multiply 2sec x by secx tanx to get our answer. We see that the derivative of sec 2 x is 2sec 2 x tan x.

What is the derivative of arctan?

(Math | Calculus | Derivatives | Table Of)arcsin x = 1 (1 – x2)arccsc x = -1 |x| (x2 – 1)arccos x = -1 (1 – x2)arcsec x = 1 |x| (x2 – 1)arctan x = 1 1 + x2arccot x = -1 1 + x2

What is the integral of tan?

Therefore: tan x dx = – ln |COs x| + C = ln |sec x| + C.

What is the integral of sin 2x?

Use the half angle formula, sin^2(x) = 1/2*(1 – cos(2x)) and substitute into the integral so it becomes 1/2 times the integral of (1 – cos(2x)) dx. Set u = 2x and du = 2dx to perform u substitution on the integral. Since dx = du/2, the result is 1/4 times the integral of (1 – cos(u)) du.

What is the Cosecant?

The cosecant ( csc ⁡ ) (\csc) (csc) The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle. Created with Raphaël A A A C B a c.

What’s the derivative of E X?

Derivative RulesCommon FunctionsFunctionDerivativeSquarex22xSquare Root√x(½)x-½Exponentialexexaxln(a) ax24 more rows

What is Antiderivative of Secx?

The antiderivative of sec(x) is ln |secx + tanx| + C, where C is a constant.

What is the integral of Cosec 2x?

To integrate cosec^2x, also written as ∫cosec2x dx, cosec squared x, cosec^2(x), and (cosec x)^2, we start by using standard trig identities to simplify the integral. We recall the standard trig identity for cosecx, and square both sides. We divide the numerator and denominator by cos squared x.

Is sin 1 the same as CSC?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

How do you find Cosecant?

The cosecant of an angle in a right triangle is a relationship found by dividing the length of the hypotenuse by the length of the side opposite to the given angle. This is the reciprocal of the sine function.

What is Cosecant formula?

Cosecant (csc) – Trigonometry function In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite side. In a formula, it is abbreviated to just ‘csc’. … They can be easily replaced with derivations of the more common three: sin, cos and tan.

What is the derivative of CSC 2x?

Math2.org Math Tables: Table of Derivativessin x = cos x Proofcsc x = -csc x cot x Proofcos x = – sin x Proofsec x = sec x tan x Prooftan x = sec2 x Proofcot x = – csc2 x Proof