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What Is The Right Triangle Definition Of The Cosecant Function

What Is The Right Triangle Definition Of The Cosecant Function. Given the angle of a right triangle as input, returns the ratio of the hypotenuse over the opposite side. In a right triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the opposite.

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A trigonometric function csc θ that is the reciprocal of the sine for all real numbers θ for which the sine is not zero and that is exactly equal to the cosecant of an angle of measure θ in. Illustrated definition of secant (function): What is the right triangle definition of the cosecant function?

Illustrated Definition Of Secant (Function):


Using the unit circle definitions allows us to extend the domain of trigonometric functions to all real numbers. The cosecant function is the reciprocal of the sine function. This implies when the sine approaches 0, then csc approaches infinity.

The Cosecant Of An Angle In A Right‐Angle Triangle Is The Ratio Of The Length Of The Hypotenuse To The Length Of The Opposite Leg.


A trigonometric function that for an acute angle is the ratio between the hypotenuse of a right triangle of which the angle is considered part and the leg opposite the angle. The cosecant function ‘or’ cosec theta is one of the trigonometric functions apart from sine, cosine, tangent, secant, and cotangent. Trigonometric functions can also be defined as coordinate values on a unit circle.

The Right Triangle Definition Of Trigonometric Functions Allows For Angles Between 0° And 90° (0 And In Radians).


A man, 1.5m tall, is on top of the building. Given the angle of a right triangle as input, returns the ratio of the hypotenuse over the opposite side. To understand what the cosecant is, you first have to know what the sine is.

In A Right Triangle, The Cosecant Of An Angle Is The Length Of The Hypotenuse Divided By The Length Of The Opposite.


Sin θ = opposite side of angle θ/hypotenuse cos θ = adjacent side of angle θ/hypotenuse tan θ = opposite side of angle θ/adjacent cot θ = adjacent side of angle θ/opposite sec θ = hypotenuse/adjacent side of angle θ The cosecant function is the inverse of the sine function. Cosec x = hypotenuse / oppositeside

The Sine Function Is The Opposite Side Divided By The.


As with all trigonometric functions, cosecant is based on a right triangle. If the length of the hypotenuse is divided by the length of the opposite side, it provides the cosecant of an angle in a right triangle. The abbreviation is csc csc θ = hypotenuse / opposite it is not commonly used, and is equal to 1/sine

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