What is the anti derivative of csc?
1 Answer. The antiderivative of csc2x is −cotx+C .
What is the integration of csc?
Integral csc(x) csc x = – ln|csc x + cot x| + C.
What is the antiderivative of csc 2x?
Combine 12 1 2 and ln(|csc(u)−cot(u)|) ln ( | csc ( u ) – cot ( u ) | ) . Replace all occurrences of u with 2x . The answer is the antiderivative of the function f(x)=csc(2x) f ( x ) = csc ( 2 x ) .
How do you find the derivative of csc 2x?
We know how to differentiate csc(x) (the answer is -csc(x)cot(x)) We know how to differentiate 2x (the answer is 2)…Using the chain rule to find the derivative of csc(2x)
| csc2x | ► Derivative of csc2x = -2cot(2x)csc(2x) |
|---|---|
| csc 2 x | ► Derivative of csc 2 x = -2cot(2x)csc(2x) |
What is the integration of Sec²x?
The integration of secant squared of angle function with respect to is equal to sum of the tan of angle and the constant of integration.
Which trigonometric ratio is opposite to csc?
The cosecant is the reciprocal trigonometric ratio of the sine. It is the reciprocal or multiplicative inverse of the sine, that is, csc θ · sin θ = 1.
What csc 45?
The exact value of csc(45°) csc ( 45 ° ) is √2 .
What is csc 2x?
Using the chain rule to find the derivative of csc(2x)
| csc2x | ► Derivative of csc2x = -2cot(2x)csc(2x) |
|---|---|
| csc 2 x | ► Derivative of csc 2 x = -2cot(2x)csc(2x) |
| csc 2x | ► Derivative of csc 2x = -2cot(2x)csc(2x) |
| csc (2x) | ► Derivative of csc (2x) = -2cot(2x)csc(2x) |
| cosec(2x) | ► Derivative of cosec(2x) = -2cot(2x)csc(2x) |
What is the antiderivative of CSC?
The antiderivative of csc refers to a commonly used mathematical formula which is used to solve a wide variety of basic and complex trigonometric functions. Where sin x is a trigonometric function, cos x will be your derivative. The formula which you will use when dealing with the antiderivative of csc is a cos nx dx = (a/n) sin nx + c.
What are the derivatives of the basic trigonometric functions?
The basic trigonometric functions include the following 6 functions: sine (sin x), cosine (cos x), tangent (tan x), cotangent (cot x), secant (sec x), and cosecant (csc x). All these functions are continuous and differentiable in their domains. Below we make a list of derivatives for these functions.
How to find the derivative of CSC SEC and cot functions?
Derivatives of Csc, Sec and Cot Functions \\displaystyle- { {\\csc}^ {2} {x}} −csc2x. Differentiation Interactive Applet – trigonometric functions. Find the derivative of s = sec (3t + 2). Put `u = 3t + 2`. Then:
How to find the derivative of csc x using quotient rule?
By using the quotient rule and trigonometric identities, we can obtain the following derivatives: `(d(csc x))/(dx)=-csc x cot x`. `(d(sec x))/(dx)=sec x tan x`. `(d(cot x))/(dx)=-csc^2 x`. In words, we would say: The derivative of `csc x` is `-csc x cot x`, The derivative of `sec x` is `sec x tan x` and. The derivative of `cot x` is `-csc^2 x`.