The derivative of csc(x) with respect to x is −csc(x)cot(x) – csc ( x ) cot ( x ) . Multiply −1 by 2 . Raise csc(x) to the power of 1 . Raise csc(x) to the power of 1 .

What is Cscx integration?

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

What is derivative of cosec inverse?

Differentiation of cosec inverse x or c o s e c − 1 x :

i.e. d d x c o s e c − 1 x = − 1 | x | x 2 – 1 .

What does csc 2 equal?

The exact value of arccsc(2) is π6 . The cosecant function is positive in the first and second quadrants.

What is the definition of csc 0?

csc(0)=hypotenuseopposite. Substitute the values into the definition. csc(0)=10. The value of a trigonometric function is undefined when the expression of its value (10 ) is an undefined quantity because of division by 0 .

What is csc equal to?

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 solve csc?

Cosecant Formula

Thus, the cosecant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the opposite side a. To solve csc, simply enter the length of the hypotenuse and opposite side, then solve. This formula might look very similar to the formula to calculate sine.

What is the formula for cosec?

We know that the cosecant function is the reciprocal of the sine function. So, the cosecant formula in terms of sine is given by, cosec x = 1/sin x.