What is csc at 2pi?
The exact value of csc(π2) csc ( π 2 ) is 1 .
What is csc at 2pi?
Since sin(2蟺)=0 and 10 is undefined or infinity, we can determine that csc(2蟺) = infinity or undefined.
What is the exact value of csc 0pi?
You cannot get an exact value; Considering that csc(x)=1sin(x) and that sin(蟺)=0 you get: csc(蟺)=1sin(蟺)=10 which cannot be calculated.
Why is csc 2 undefined?
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 (pi) is 0, so the cosecant of pi must be undefined.
How do you find the exact value of csc pi?
The value of csc pi can be calculated by constructing an angle of 蟺 radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of cosec pi is equal to the reciprocal of the y-coordinate (0).
How do you write cosecant?
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. In a formula, it is abbreviated to just ‘csc’.
What is csc?
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What is the value of Sin蟺 2?
The value of sin pi/2 is 1.
What is csc the inverse of?
The cosecant ( csc 鈦 ) (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 solve sec pi 2?
We can use trigonometric identities to represent sec pi/2 as, -sec(pi – pi/2) = -sec pi/2. -sec(pi + pi/2) = -sec 3pi/2. cosec(pi/2 + pi/2) = cosec pi.
Why is cot 180 undefined?
and note that the sine of a 180 degree angle is zero, and the cosine of that angle is -1. So, this evaluates to a division by zero. Therefore, cot180 is undefined.
How do you find sec and cot?
The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin 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 .
What is the csc of 45?
The exact value of csc(45掳) csc ( 45 掳 ) is 鈭2 .
What is csc degree?
The csc trig function is periodic with a 360 -degree period. This property means that the function’s values repeat every 360 degrees. In mathematical language, we can write this fact as sec(x) = sec(x + 360掳) . The cosecant formula is not defined everywhere.
What is secant squared of pi over 4?
The exact value of sec(蟺4) sec ( 蟺 4 ) is 2鈭2 .
How do you get csc 2?
Cosecant squared formula
鈦 胃 = 1 + cot 2 鈦♀仭 胃 鈭 cot 2 鈦♀埓 csc 2 鈦 胃 = 1 + cot 2 鈦
Is csc the same as sin 1?
Csc is simply 1/sine , which is the reciprocal of the sine value. Sine = Trig Function.
Why is cosecant called cosecant?
Logically, its complement was called the cosecant, which is the reciprocal of the sine. It has to do with how the secant was historically defined. If you take a look at the unit circle, the secant is the distance from the center to the vertical tangent in a certain direction.