The cosecant function is the reciprocal of the sine function. The sine function is the opposite side divided by the hypotenuse, so the cosecant function is the hypotenuse divided by the opposite side. … These functions give a relationship or ratio between the sides based on the given angles.
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’.
Subsequently, What is CSC on the unit circle?
The cosecant function is the reciprocal of the sine function (cscx=1sinx) x = 1 sin . It can be found for an angle t by using the y -coordinate of the associated point on the unit circle: csct=1y t = 1 y .
Also, What is the equation for Cosecant?
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 . = tan 5π 4 .
What does CSC in math mean?
cosecant
Last Review : 11 days ago.
What is a Cosecant line?
The cosecant as a line segment of the unit circle. Like the other trigonometric functions, the cosecant can be represented as a line segment associated with the unit circle. The diagram shows the cosecant for an angle of rotation θ of forty-five degrees (measured anti-clockwise from the positive x-axis).
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 .
What is Cosecant math?
In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc. csc θ = hypotenuse / opposite. It is not commonly used, and is equal to 1/sine.
What is Cosecant on a calculator?
The calculator does not have built-in secant, cosecant, or cotangent functions. You must calculate these functions by using the appropriate reciprocal identities.
How do u find CSC?
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 CSC?
more … In a right angled triangle, the cosecant of an angle is: The length of the hypotenuse divided by the length of the side opposite the angle. The abbreviation is csc.
What is CSC in terms of sin?
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.
How do you find Cosecant without a calculator?
How do you write a Cosecant function?
What is a Cotangent line?
A cotangent line ( Fig. 8 ) is a tangent, drawn to a unit circle through the point B of a vertical diameter. A tangent is a segment of a tangent line between the tangency point A and an intersection point ( D, E, etc., Fig.
How is CSC 1 calculated?
csc(csc -1(x)) = x for x in (- , -1] or [1 , ). Because of the intervals chosen we get this identity, similar to the one stated for inverse sine and cosine. csc -1(x) = /2 – sec -1(x) for x in (- , -1] or [1 , ). To get used to thinking inversely, try this exercise without a calculator.
How do you find the exact value of CSC?
Trigonometry Examples Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of csc(60) is 2√3 . Multiply 2√3 by √3√3 .
What is CSC in terms of sin and cos?
The tangent of x is defined to be its sine divided by its cosine: … 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 Cosecant used for?
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.
What does CSC mean?
Acronym Definition
——- ——————————————
CSC Coastal Services Center
CSC Contract(ing) Services Company/Corporation
CSC Civil Service Commission
CSC Card Security Code (credit cards)
[advanced_iframe use_shortcode_attributes_only=”true” src=”about:blank” height=”800″ width=”800″ change_parent_links_target=”a#link1″ show_iframe_as_layer=”external” enable_ios_mobile_scolling=”true”]
Spread the word ! Don’t forget to share.