The reciprocal sine function is cosecant, csc(theta)=1/sin(theta).
Contents
What is the value of csc θ?
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.
The Cosecant Function.
| csc (θ ) = | 1 |
|---|---|
| y |
What is the formula for csc?
For example, csc A = 1/sin A, sec A = 1/cos A, cot A = 1/tan A, and tan A = sin A/cos A.
What is the csc of 30?
The exact value of csc(30°) csc ( 30 ° ) is 2 .
What is the cosecant of a 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 .
What is csc Theta sec theta?
cscθsecθ=1sinθ1cosθ ⇒cosθsinθ=cotθ
What is sec theta over 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).
How do you find the SEC of a triangle?
The secant of an angle in a right triangle is the value found by dividing length of the hypotenuse by the length of the side adjacent the given angle. The secant ratio is the reciprocal of the cosine ratio.
What is the value of csc 45?
Trigonometry Examples
The exact value of csc(45°) csc ( 45 ° ) is √2 .
What is the value of csc 60?
The exact value of csc(60) is 2√3 .
What is csc the inverse of?
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.
What is the inverse of sec?
arcsec
The inverse of sec is arcsec. In trigonometry, the inverse of the secant function is the arcsec.
What is cot Theta?
cot(θ) = 1/tan(θ) And we also have: cot(θ) = cos(θ)/sin(θ)
What are the trigonometric identities?
All the trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side.
Which are undefined reciprocal trigonometric functions?
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 equivalent to tan?
The tangent of x is defined to be its sine divided by its cosine: tan x = sin x cos x .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 .