Where is csc equal to 0?
Answer and Explanation: The cosecant of 0, denoted csc(0) , is undefined. We can determine this using our reciprocal identities, and the fact that…
Why is csc 0 undefined?
Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (0) is 0, so the cosecant of 0 must be undefined.
What is the exact value of csc 0?
Trigonometry Examples Rewrite csc(0°) csc ( 0 ° ) in terms of sines and cosines. The exact value of sin(0°) sin ( 0 ° ) is 0 . The expression contains a division by 0 The expression is undefined.
What does csc 0 mean in math?
The cosecant of angle zero degrees is a value. It actually represents the quotient of length of hypotenuse by the length of opposite side when the angle of a right triangle equals to zero angle.
How do you solve for SEC 0?
How to Find the Value of Sec 0 Degrees? The value of sec 0 degrees can be calculated by constructing an angle of 0° with the x-axis, and then finding the coordinates of the corresponding point (1, 0) on the unit circle. The value of sec 0° is equal to the reciprocal of the x-coordinate(1). ∴ sec 0° = 1.
What is cosecant squared 0?
The expression contains a division by 0 The expression is undefined.
What is the exact value of csc?
1 Answer. You cannot get an exact value; Considering that csc(x)=1sin(x) and that sin(π)=0 you get: csc(π)=1sin(π)=10 which cannot be calculated.
Does csc 0 equal infinity?
csc Proof. According to the trigonometry, the cosecant of zero degrees is equal to infinity. The exact value of cosecant of zero degrees can be derived in three distinct mathematical approaches.
What is Cscx?
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 .
What is derivative of Cscx?
(b) The derivative of x csc x is. x csc²x + x cot x. -x csc x cot x + csc x. -x cscx + cot x. Q.
What is the value of sec theta 0?
Trigonometry Examples The exact value of sec(0) is 1 .
What is the cosecant of 0?
What is the cosecant of 0? In mathematics, cosecant is a trigonometric function that is called the reciprocal of the sine function. This is because csc(x) = 1 sin(x) csc ( x). We can use this property to evaluate the cosecant of various angles.
What is a cosecant?
Another definition of cosecants is that they are the reciprocal functions of the sine. This means that the cosecant of an angle is equal to 1 divided by the sine of the angle. We know that the sine is equal to the opposite side divided by the hypotenuse and the cosecant is the inverse of that.
Why does the cosecant function go to infinity?
Because the cosecant function is the reciprocal of the sine function, it goes to infinity whenever the sine function is zero. The derivative of csc (x) In calculus, the derivative of csc (x) is –csc (x)cot (x). This means that at any value of x, the rate of change or slope of csc (x) is –csc (x)cot (x).
What is the angle whose cosecant is 2 0?
Means: The angle whose cosecant is 2.0 is 30 degrees. Sometimes written as acsc or csc -1 In a right triangle, the two variable angles are always less than 90° (See Interior angles of a triangle ).