How do you calculate 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 .
Is csc undefined at pi?
Correct answer: 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.
What is the value of cos 15 )?
The value of cos 15 degrees is 0.9659258. . .. Cos 15 degrees in radians is written as cos (15° × π/180°), i.e., cos (π/12) or cos (0.261799. . .).
What is csc on calculator?
The cosecant formula is: csc(α) = hypotenuse c opposite a. Thus, the cosecant of angle α in a right triangle is equal to the length of the hypotenuse c divided by the opposite side a. To solve csc, simply enter the length of the hypotenuse and opposite side, then solve.
What is csc math?
Thus, the cosecant of an angle is the ratio of the length of the hypotenuse and length of the side opposite the angle. Cosecant is abbreviated as csc. csc θ = Hypotenuse / Side opposite to θ Also, we know that cosecant is reciprocal of sine, i.e. csc θ = 1/sin θ
How do you solve csc pi?
Cosec pi Using Unit Circle To find the value of csc π using the unit circle: Rotate ‘r’ anticlockwise to form pi angle with the positive x-axis. The cosec of pi equals the reciprocal of the y-coordinate(0) of the point of intersection (-1, 0) of unit circle and r.
Is csc a period 2pi?
The period of cscx is 2π because the period of sinx is 2π, and cscx=1sinx. It doesn’t have to do with the discontinuity. The same thing holds for secx.
What is the value of pi 8?
For tan pi/8, the angle pi/8 lies between 0 and pi/2 (First Quadrant). Since tangent function is positive in the first quadrant, thus tan pi/8 value = 0.4142135. . .
What is Sinpi?
Sin pi is the value of sine trigonometric function for an angle equal to pi radians. The value of sin pi is 0.
How do you write cos 15?
Answer: The value of cos 15° = (√3+1)/2√2.
What is Secpi?
Sec pi is the value of secant trigonometric function for an angle equal to π. The value of sec pi is -1.
Is Cscpi undefined?
We have sin(π)=0 , therefore csc(π)=10 which is undefined and has different limits when approached from above and below ( ±∞ ).
What is the period of csc?
2 π 2
Also, the period of secant and cosecant are the same as the period of cosine and sine, which is 2 π 2\pi 2π.
What is cosecant period?
The period of both secant and cosecant is 2π like sine and cosine. There is no amplitude for secant and cosecant, but there is a vertical stretch that is used instead.
What is the value of Cosec pi by 8?
The value of cos pi/8 in decimal is 0.923879532. . .. Cos pi/8 can also be expressed using the equivalent of the given angle (pi/8) in degrees (22.5°). ∴ cos pi/8 = cos π/8 = cos(22.5°) = 0.9238795. . .