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 .
What is the value of csc Theta?
As the value of sin (θ ) approaches zero, however, the value of csc (θ ) tends to infinity . The value of csc (θ ) when sin (θ ) equals zero is thus said to be undefined.
What is csc theta equal to?
The reciprocal sine function is cosecant, csc( theta)=1/sin(theta ).
What ratio is csc θ?
csc(Θ) = 1/sin(Θ) , sec(Θ) = 1/cos(Θ), and cot(Θ) = 1/tan(Θ).
What is csc formula?
For example, csc A = 1/sin A , sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A. ...
How do you go from sin to CSC?
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 tan theta equal to?
or, tan theta = sin theta/cos theta (here, theta is an angle) The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse side, while the cosine of an angle is the ratio of the adjacent side to the hypotenuse side. Hence, sin x = Opposite Side/Hypotenuse Side.
How do you get the csc Theta?
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)= 1/ sin(theta).
What is sin θ?
Looking out from a vertex with angle θ, sin(θ) is the ratio of the opposite side to the hypotenuse , while cos(θ) is the ratio of the adjacent side to the hypotenuse . No matter the size of the triangle, the values of sin(θ) and cos(θ) are the same for a given θ, as illustrated below.
What is the value of csc 60?
Trigonometry Examples
The exact value of csc ( 60 ) is 2√3 .
What sides is CSC?
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’. Of the six possible trigonometric functions, cosecant, cotangent, and secant, are rarely used.
What is the opposite of CSC?
Cosecant Function: csc(θ) = Hypotenuse / Opposite. Secant Function: sec(θ) = Hypotenuse / Adjacent.
Why is tan 30?
If an angle of a right-angled triangle is 30° degree , then the value of tan 30°, can be written as tan (30°) according to the Sexagesimal System. If fractional form tan 30°values 1/√3, which is equal to 0.5773502691.
What is the angle of CSC?
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 does CSC stand for?
Common Service Center (CSC)
Is sin 1 the same as CSC?
So the reciprocal of the sine function is called the cosecant and is equal to the hypotenuse / opposite. ... It is important to note that there is a big difference between the reciprocal value csc θ and sin – 1 x. The cosecant function means 1/sin θ, while the second involves finding an angle whose sine is x.
